No, protons do not have a half-life. In particle physics and according to our current understanding, protons are considered stable particles. This means that they do not spontaneously decay or undergo any processes that would cause them to transform into other particles or change their fundamental properties.
The stability of protons is a crucial aspect of atomic and nuclear structure because it ensures the long-term stability of atoms. In the Standard Model of particle physics, which is our current theoretical framework describing fundamental particles and their interactions, protons are considered to be absolutely stable.
However, it's worth noting that our understanding of physics is constantly evolving, and there may be phenomena or theories beyond the Standard Model that could potentially suggest a different fate for protons. Experimental evidence and ongoing research play a vital role in advancing our knowledge and potentially uncovering new insights into particle physics.