Sure. I had some issues years back with corpal tunnel and I don't have the flexibility I once had also arthritis. I am 57 and still enjoy fooling people. A relative got me to look into these type of books. He is 75 and found that it allows him to still perform.
Without knowing your specific limitations, I suspect that there are some sleight of hand moves that you can do. If you can do a basic spread, riffle shuffle, overhand shuffle and deal cards, there are a multitude of sleights and controls available to you. Rene Lavand performed with only one arm. Mahdi Gilbert performs without having any hands. Watch their performances on YouTube.
@Casey Rudd - I completely forgot about Nick Trost - he has some really good stuff in The Card Magic of Nick Trost. Also, memorized stack work is a great suggestion.
I would also recommend looking into the use of gaffed cards and gaffed decks. Things like stripper decks, invisible decks (which require some dexterity), one-way decks and marked decks as well as the typical gaff cards (double back, double face and short cards provide you with the ability to do amazing things. That takes me back to Encyclopedia of Card Trick as a recommendation.
At this point, it probably makes sense to try and help you fine tune your list. To begin, get Scarne on Card Tricks. That may be all you ever need. After that, we can make recommendations to tailor you list based on what some other factors besides the effects merely being self working.
The first question is who are you intending to perform for and in what setting? There is a difference between performing for the same friends (requiring a lot of new material) and performing for difference audiences (requiring a selection of the best material). There also is a difference whether you are performing standing up or seated at a table. I also think there is a difference between doing one or two tricks or a whole show.
The second question is what is your curiosity level? In other words, do you enjoy reading magic books even if you won't use a lot of what is in them? Or are you looking for books where you will be able to use every effect? Is this a hobby that will occupy a couple of hours a week or a couple of hours a day?
The third question is what is your budget?