Yes, you could promote to a bishop that matches the color of a bishop already on the board.
Underpromotion to bishop?
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Having become interested in retrograde analysis, I'd be grateful if someone could answer this: if a player's pawn reaches the 8th rank and promotes to a bishop, can he then have 2 bishops on the same-coloured squares on the board? (Of course this is purely theoretical, I can't imagine the situation ever arising in actual play.)