Well, if you're removing a lot of metal from your knife and re profiling it, you might thicken it out if you try several hundred times. With general sharpening though, I wouldn't worry about it too much.
I suppose it's biologically possible that you can't sharpen. Hold your hand out flat. Does it shake? If no, then you should be able to sharpen.
Most beginner's biggest hurdle is learning how to hold a consistent angle through the stroke, as well as angling the hilt upward to make full contact with the edge. Past that it's also very important to know how to check for a burr ( so you know when to back off and start on the other side ) and then how to remove the burr. If you're not getting edges as good as a carbide pull through, I suspect you're not holding the angle very well. If you were leaving a burr on it would cut as well ( probably better) as any carbide pull sharpener, but if you're raising a burr and it's still not sharp at all, you're probably not hitting the edge because of inconsistent angle holding.
The best advice I think there is for keeping the angle constant on a stone is to not use your arm muscles, but use your back and hips to move your body forward. Then use the muscles in your shoulders and arms to concentrate on angling the back of the blade upward to keep the angle and stroke in consistent contact on the bevel from hilt, to belly to tip... Depend on what you're sharpening of course. However, in that way, you can leave your hand muscles to do the work of locking the angle in consistently, while the rest of your body works on the other parts.
One thing you should try to see how you're hitting the bevel is the "marker trick"; draw some magic marker on the face of the bevel. Make a stroke as best as you can, and then with the marker you can see which parts of the metal you're grinding and use your common sense from there. If all you see is a thin line on the very edge of the bevel, you're holding your angle too high; if only the marking on the shoulder is removed, too low. If there's kind of a wavy line that forms from the bits you removed starting from the hilt, to the tip, then you're wavering too much in your stroke. If the hilt marking is perfectly removed, but only the shoulder or the very edge marking is removed at the tip of the blade, you're holding the spine too high or too low respectively because you're not angling the butt of the knife correctly for the bevel face to make full contact and altering the angle. Just basically think about what the pattern is telling you, as it indicates which part of the bevel is making contact with the stone.
All in all though, if you have a reasonably flat bevel, fairly equal on both sides, and have raised and removed a burr you should have a pretty sharp edge. Is the face of your bevel very convex, or kind of covered with a lot of different flat spots? That would be a dead give away for too much wavering, and it's pretty much the most common problem so don't worry about it if that's the case. It's very easy to hold a consistent angle that's not the right angle and wind up with a multi-faceted looking bevel, or waver too much and have it look quite round and convex.
Combined with the tip about using your muscles, I'd recommend you set some pennies on your stone. Then rest the edge of your spine on the edge of the stack ( don't use much pressure or you'll press them down, and be sure to put the spine edge on the same spot each time ), and in this way you can keep track of the angle you're sharpening. Try to make as many strokes as you can without setting the spine on the stack, and then without changing the angle drag it back to the pennies to see if you've moved it up or down. Don't be surprised if when you drag the edge straight back, instead of resting back on the same spot of the penny, you hit the edge or glide way over the top of it. Just try do your best to keep the spine coming back to the same point on the edge of the coin stack, and through practice you'll get better. Now days I just use the pennies as gauges to keep track of which angle I ground which knife at, but they work really good as a trainer, even with a new knife I might not be used to.
If you wish though, you could check out a DMT Aligner clamp. They're $15, and just the clamp alone; normally they're sold as part of a sharpening system. However, you can use the clamp as a free-hand sharpening trainer. It should give you a feel for how to maneuver the blade to keep good bevel contact, while keeping the angle constant for you and training your muscles. RazorEdge Systems also sells some guides that are for the same purpose, but it's a much wider clamp and you can't cover the belly of the knife as well as with the DMT. They're limited though because you need to have a good, flat 90 degree surface on the spine to clamp on to.
Anyway, that's all I think I should really say for now. A little long winded anyway. If you want to check out some more stuff to read that might get you on your way though, check out John Juranitch's book, "The Razor Edge Book of Sharpening." It's full of less of the "What angle? What grit?" part of the procedure and more about the actual technique involved. I could free-hand a decent edge before reading it, but after reading it my whole understanding of the process was a lot better, and through that (and practice of course) my results got better.
So yeah, practice practice practice... And if that doesn't work, re-evaluate your knowledge, and then practice practice practice