Having a pet proton, as we commonly understand it, is highly unlikely. Protons are subatomic particles that are found within the nucleus of an atom and are positively charged. They are held together by the strong nuclear force, which is much stronger than the electromagnetic force.
Isolating a single proton and keeping it stable outside of an atomic nucleus is extremely challenging. Protons, due to their positive charge, strongly repel each other and other positively charged particles. Keeping a single proton isolated and preventing it from interacting with other particles would require complex and technologically advanced methods that are currently beyond our capabilities.
Moreover, protons are not living organisms and do not possess the characteristics typically associated with pets, such as consciousness, emotions, or the ability to form a bond with humans. While scientists can study and manipulate individual protons in controlled environments, the notion of having a pet proton in the sense of a companion or household animal is purely speculative and not within the realm of possibility based on our current understanding of physics and biology.