Given that V1min is a function of Vmcg, to get a lower minimum V1, you need to lower Vmcg.
Most of the factors affecting Vmcg are not able to be varied, but one that is, is engine thrust.
So it is possible for some performance software to come up with a reduced V1 when performing a reduced thrust takeoff, but the use of this is subject to a number of restrictions, and that is before you consider a plethora of other takeoff performance requirements that need to be met.