As long as you observe your VMCG and V1 why should it not work?
Most tricycle-gear aircraft will have enough low speed control to stay on the runway until the rudder begins to bite - you may need to feather the power in - but the only real hazard, that aside, is running out of tarmac, and in a modern high powered machine I doubt that would happen on any but shorter runways. It would be one hell of a trick in a DC3, for sure.
If just one engine will get you off airborne and climbing safely from a V1 cut then why on earth would it not get you from threshold to V1? The answer is it would. So, keep directional control and runway length permitting...
There is a world of difference though, as said above, between "would", "should" and "could".