Pretty sure they exist, yes
Definitely part of the grit game when holds are too bad to hold statically, particularly when you move up past them and the angle of your fingers on the holds can change (esp slopers). Or coversely with poor footholds where a change in angle or pressure can cause them to ping off. Thus dynamically makes sense.
A few things I try to do:
Play around with different body positions and hold combinations on the problems. Sometimes the largest holds are not the easiest ones to spring from.
Carefully check out the target hold, clean it well, mark where the good bit is.
Remember to push with the feet.
Occasionally cutting loose might be a good option. On mid-grade problems it can often be relatively easy to hold the target hold, and jumping with the feet might be more efficient than fighting harder to stay attached and doing a move slower.
Hip flexibility can be useful to get in closer to the wall to maximise adhesion on handholds.
Training-wise....not so sure, other than finding problems with poor footholds, training dynamic moves, training leg power.