The question probably could do with a little clarification as to what context and what you mean by 'due to radiation'?
I have assumed you mean 'Do protons and electrons decay via radiation to lose energy?' In which case:
-Electrons are fundamental, there is really nothing to decay to. They can lose energy if they have a mass-energy above their rest mass, but they will not decay.
-Protons are a bit of a longer answer. In practice, no, protons are the lightest of the baryons and therefore do not decay. They can interact with other particles, but don't decay of their own accord. There has been a lot of experimentation into this, and this conclusion is made with overwhelming significance (I can find the number for you, if you would like). That said, some beyond the standard model theories, hypothesise proton decay - though as yet, have not observed it. If it does exist, the half-life is 10^22 years times longer than the age of the universe.
Also, welcome to Physics SE
EDIT: Just to clarify this answer holds up for the situations of both a free particle and bound ones (though you can get beta+ decay in a bound state, this is not proton decay) and in the situation of accelerated particles