Can you sue a company for discrmination for not hiring for a crime you were not convicted of?

Yes, you can. However, it is probably not a good idea; banks will not usually hire people who have tried robbing them and companies do not normally want those guilty of theft to work in a place with expensive equipment. If you lose, you will have to pay your attorney, their attorney and court costs.

Talk to your lawyer to see if there is any fair basis to your claim.