No, there is no possible checkmate with 2 (or more) same-coloured bishops against a bare king. The game is drawn immediately.
Indeed, if White has light-squared bishops then:
- when the black king stand on a dark square, it cannot be attacked
- when the black king stand on a light square, it can be attacked but there are at least two adjacent dark squares (more if it isn't in a corner), of which the white king can only deny one : Black is in check but not in checkmate and the king escapes.
For example, in the position (the most White can get) White: Kc2, Bf4, Bc5 / Black Ka1 :
1.Be5 is check but a2 is not controlled: 1...Ka2 and the game is a draw.
If you add a Black pawn, a checkmate pattern become possible. However, it takes 5 bishops (!) in this study by Alexei Troitsky (thanks to @HaukeReddmann for the reference) for White to be able to force a checkmate !