aerobic base

you know how oxygen-based (aerobic) lifeforms rose to prominence after excessive oxygenation basically killed almost all life on earth? because life was mostly anaerobic and oxygen was actually a corrosive poison to them

so is it possible that after a nuclear apocalypse there might be new lifeforms that feed off and thrive in radiation? you know the same way we swim in oxygen levels that are deadly for older forms of life. or is that a bridge too far for nature because of how radiation damages DNA and you need to be able to replicate properly to be a species