Can I do a multiplayer speedrun with some of my friends?
Yes, but be aware that your play quality will only be as good as your weakest link, and that multiplayer runs are harder to coordinate. Multiplayer runs are a separate category much like the idea of single-segment vs. segmented: you may use whatever number of players you find optimal, and a faster single-player run will obsolete your run. You should exploit as many multiplayer-exclusive strategies as possible.