It is definitely possible.... BUT, it will take a freaking long time by hand.
I personally WISH, Jerry would just provide satin finishes at a "REASONABLE" price instead of charging $200 - $330 more.

But, then I would be buying more INFI....

......... I will leave it at that for now....
A cheap $40.00 1"x36" belt sander by Delta or from Harbor Freight would be money well spent for the project. BUT, there is a learning curve for using a belt sander. And some RULES that should be strictly adhered to when using on knives.
Number 1 rule is - DON'T over-heat the blade. You can ruin the temper of the blade.
Dipping in water is a good practice after every 1-3 passes. But, don't use the water to bring down temperature that was made to hot. Don't get that hot ever. But, instead, use the water to maintain lower temperature.... as temperature in the blades can be cumulative. Water cools off blades very fast.
There are some technique and safety considerations. But, too much to type right now. I would recommend doing some searching. If you decide to head down this road, I have a few worthy links I can post.
A cheap belt sander, a good variety of the right belts and some practice make for one of the best methods for sharpening knives as well.... IMO.
However, .... You will still have to clean the grooves by hand...
.