Yes, that's one possibility[0]. Or the energy can be sufficient to alter the decay rates of other nuclear reactions (alpha/beta decay, etc.) compared to the base isotope. A weird example: Excited tantalum-180[1] is more stable than its base state.

[0] https://en.wikipedia.org/wiki/Photofission [1] https://en.wikipedia.org/wiki/Isotopes_of_tantalum#Tantalum-...