No, it is not possible to lose your virginity to yourself. You can only lose your virginity to another person.
I assume you are talking about your hymen. Hymens have nothing to do with virginity. Most girls tear their hymen during childhood or puberty due to running, jumping, masturbating, and using tampons. None of that would count as losing your virginity. You are a virgin until you have sex with another person.
Most people do not bleed their first time having sex. There is also little or no pain or blood involved when the hymen tears.
More information on hymens: coolnurse.com/hymen.htm