Hell ya - you can use three mics on drums.
What is the dynamic of the drummer in question?
I love three mic drums sounds. I don't like making more work for myself, but it all depends on what I am recording.
One Above the Drummer, to the Floor side of him, and in front of the kick drum, lined up correctly is really excellent.
This all varies, with the drummer and the performance though,
EDIT: you can use your preamps and microphones wherever you feel they are best.