People make up a 220 extension cord all the time. All you need is two heavy duty power cords and a junction box with a 220 outlet. Cost would be about $30 if you bought everything new.However, if you hook it up wrong, or a socket is improperly wired, you will get smoke or worse. Only a person who knows electrical hookups should ever attempt to make a temporary 220 hookup. (and your question tells us that you are not one of those people)
Your average power panel has two phases in it. If there are two outlets in the same area that you can plug the two legs of the cord into, you will have 220. This will work for a very temporary situation, but is not desirable for permanent use, and not safe for more than 2200 Watts (ten amps per phase). If you look at that ad, you will see the cords are 3 feet long. You won't likely have two outlets on different phases that close together. You should not use extension cords on one of these ( but you will notice they offer them for sale). The best thing is to run a dedicated 30 amp,220 volt line to your shop.
I wouldn't waste the money on this gizmo, but to answer your question - it will work.
Stacy
BTW, for the $150-250 you would put in this unit, you can have a legal outlet added.