If said person has a history of stealing or other dishonest ways of taking your money, then yes.
I remember having my brother in law and sister sneakily sell off some of my possessions (stuff I had boxed away or hardly used) without telling me. I'd find out later and arguments ensue. They've always asked for money, rather than my sister get a job she's taking advantage of an illness rather than fighting it. (Don't get me wrong, she's always been incredibly lazy) They've moved far away from me now, and I never insinuate anything related to me making more money because of what may happen.
There were times I'd pocket a little cash for myself growing up, and like a mosquito to blood she always finds a way to sniff it out.