My own personal opinion is yes. But this question is really just an opinion so others will say no. They are both B.S.A.A agents and most likely went through their own training. And while Jill handled herself in Resident Evil 3, she clearly lets her emotions get in the way. Founding B.S.A.A. doesn't really count much to me. Yes she has had S.T.A.R.S. and B.S.A.A. but to me she broke rank knocking Wesker out the window. But like I've said, opinion.
My opinion differs. Jill has had more training, experience, and more control over her emotions than Sheva.
Its not much of a opinion, if you look it up sheva is a BSAA member while Jill is one of the twelve founding members of the BSAA.