Is it possible that I get very jealous and possessive in a platonic relationship?

It's funny you ask this question because I just went through something like this. Ask yourself how do you feel when this person is not around. If your getting jealous, than there maybe something more. Ive had plenty of woman in my life that were just friends, and they would never be possessive or jealous. This recent young lady would get angry and jealous if I flirted with a woman or even just had a conversation. It sounds like there is something more. You two need to sit down and talk about it.