What do you mean by 'influenced'? If you bombard the nucleus with neutrons, there is a chance it will absorb one and become a *different* nucleus with a different decay rate. If you bombard the nucleus with very high energy gamma rays, it is possible to put it into a different energy state that has a different decay rate.<quoted text>
Yes but can it be "influenced" Or isn't it known that there is an influence? I consider it beyond the scope of determination for several factors. But we have discovered several mechanisms as contributing factors.
In each case, the new decay rate still is probabilistic. Once you have the new nucleus, there is no difference between one just before decay and at any other time.