The atomic nucleus is often treated as monolithic from the perspective of atoms and molecules, but NMR demonstrates that nuclear states can be affected through external means.
Especially the development of solid-state NMR exhibits effects from various interactions with nuclear states: https://en.wikipedia.org/wiki/Solid-state_nuclear_magnetic_resonance#Nuclear_spin_interactions_in_the_solid_phase
Might it be possible to use such interactions to drive nuclear transitions?
I'm aware that -- since the interaction strengths are weak compared to the transition energies -- these would probably have to be second order effects.
EDIT: I should have been more clear: by driving nuclear transitions I mean changing the lifetimes of nuclear excited states (even ever so slightly).