Do all the subatomic particles participate in chemical reactions?

No. Not all subatomic particles participate in chemical reactions.

The subatomic particles are proton, neutron, and electron.

neutron - subatomic particle with NO electrical charge. It is found in the nucleus of an atom.

proton - subatomic particle with 1 positive electrical charge. It is found in the

nucleus of an atom.

electron - subatomic particle with 1 negative electrical charge. One or more electrons move around the nucleus of an atom.

Among the three subatomic particles, electron is directly involved in the chemical reaction between two atoms.