In resident evil 5 are chris and sheva dating

Chris and Sheva do not date. They don't particularly like each other in that way. Chris cares deeply for her as his partner, as he has a flashback of Jill's fall during a similar situation involving Sheva, but the way he feels about Sheva is the same as with Jill. Any further inquiry will have to wait until they give us a new game or spinoff.