Cherries are my absolute favorite. My aunt used to have a cherry tree when I was a kid and I loved picking em fresh. She died from brain cancer after a long battle. Love her so much still, one of the only family members who understood me growing up.
A cherry tree can be a pretty big tree. I don't know how big your balcony is, but AFAIK cherry tree roots are about as wide as the crown so I would say no.