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Wayne Dobson has MS and is paralyzed from the neck down. He is still creating mind-blowing magic.
Mahdi was born without hands and fooled Penn & Teller.
Look into Mentalism. Max Maven's book PRISM is amazing. A cheaper alternative is Ted Annemann's Practical Mental Effects(magic) and Corinda's 13 steps to mentalism.
. The last two probably have free PDFs out there in public domain.
There is a lot of very clever and fun "hands off" magic.
Do what you can physically. Cards and coins are a great way to build finger dexterity. But don't feel you are excluded from the art due to any handicap.
Find card tricks that take place in the spectator's hands. Scam School had a great trick this week where you don't have to touch the cards at all.
They also have this one. As well as this one.
Thank you /u/scamschoolbrian, perhaps you know some more great references.
Plus, Diamond Jim Tyler has the "Bamboozler" series that have hundreds of bar bets, puzzles, and tricks that you can simply instruct people through while blowing their minds.
You'd be surprised how many people you'll entertain with something as simple as this or it's austrailian counterpart.
Head on over to r/magic and checkout the side bar. Let other people be your hands and amaze them with your mind.
Also, if you're ever in LA hit me up. We'll go to The Magic Castle. It's not the most wheelchair friendly place, but I know several magicians that visit in wheelchairs.
Go with a prediction... check out some of Max Maven's work. PRISM is awesome. You can get that book for $50
also dig through Annemann:
I'm NOT saying this is how Darren Brown does stuff, but you're going to want to look into multiple outs, indexes, and forces.
Check out Max Maven's Prism: The Color Series of Mentalism.
Every single page is genius. By far the best book on mentalism I have ever read.