For sure possible. Got to find a big 6 team with lower prestige than you or battles elsewhere so they have less cash than you, or if you have a distance advantage, go for it. I beat several big name schools in battles at Wichita State, the ones I remember are Arkansas and Florida State.
I lost a bunch too, so don't underestimate their resources. I would avoid battling A and A+ teams unless you are within 200 miles and they are over 360.