Timestretch a midi sequence?

Hi,
Is it possible to timestretch a midi sequence? For example, if I record midi to a track while playing along with some external unsynced audio, without paying any attention to the mpc's bpm, .. the result sounds exactly right but is completely off the mpc grid.. how can I fix this? I would ideally like to alter the mpc's bpm while keeping the individual notes exactly the same distance (in miliseconds) apart. When so adjusted, my recorded beat would end up on the grid and be easy to loop and sync with other gear.

ooh yeah thats kinda painting your self into a corner there. Hmm. The only way I can think of is to do it manually. Should not take long though as you know what is the the first beat of each bar. So get that midi sequence and get a BPM close to what it is, then move the 2nd bars first beat into the right place and then it should give you more of a guide to where everything goes midi hit wise.
The only other way is in a DAW I guess.

You dont need timestretch, but time correction and playing with a tempo..