Having a problem with your personal belongings being handled by someone else.
Example: Having a problem with someone touching or using a personal belonging
I think likening it to a form of territoriality isn't half bad. Aversion / disinclined to share if a request were made.
As an aside, might be an extension of personal space / proxemics, and prolly learned behaviour.
en . wikipedia . org / wiki/Proxemics
www . quora . com / Why-do-kids-these-days-hate-to-share-their-belongings
www . quora . com / Is-it-wrong-if-I-hate-when-someone-touches-my-belongings-or-invades-my-personal-space-like-my-bedroom-I-even-hate-the-thought-of-me-sharing-my-bed-with-someone-even-my-family-member-It-makes-me-uncomfortable-Is-there-something-wrong-with-me