Sure, but this is really dicey.
Out of phase caused by distance traveled through air is depending on the frequency of the signal. So yes for a bassdrum or a tomtom you might be able to improve the situation but for 99% of the instruments it is a doing more damage than good.
Reversing the phase of one mic (but not the others that pick up an instrument with a wider frequency range) will cause more new cancellations over the spectrum than it fixes old cancellations. But you have a whole cascade of new phase issues with the third (next one over) mic.
What you say is entirely correct but I am not comfortable throwing it out in a (effectively) beginner's recording thread.
I am a beginner in the sense that this is my first time recording a drum kit by my self but I am very familiar with the theory of recording. I know HOW to mic and mix a drum kit, the problem is all the little things you cant learn by reading a book, ie experience. I haven't heard anything on this thread in regards to recording technique that I didn't know 2 years ago.
The bassdrum should have it's it's own mic totally wiping out the other mics for that drum. If the tomtoms don't have one each (fewer mics pick up many elements of the drumkit) I don't think you can improve the situation by reversing the phase on any of those mics.
Anyway...
The OP likes his live recording more.
http://www.talkbass.com/forum/f67/recording-1001715/#post14635271
Its not a live recording, I recorded the drums on two tracks and then did all the other instruments individually.
Listening to it it seems obvious to me that random room simulation (different for each instrument, and in the case of the guitar plain bad), a lack of instrument separation and the completely messy stereo placement are the reasons for the studio recording being disliked.
The drums are actually screwed up on the better liked "rough mix", the cybals and hihat sound like a low bitrate mp3. Still, doesn't matter.