If your crew is experienced, it is "possible", I guess.
But is the 4-5 man crew includes sound dept. as well?
I mean,
2 people on camera: DP/Operator and 1stAC/Focus Puller
2 people in Lighting: Gaffer and Grip
1 (2 would be alot better) person running sound and boom opping?
Sounds pretty gnarly, don't you think you could get a few more people if you really tried?
1stAD is of Monumental importance! (Script Super too...but)