Is it possible for my hymen to be intect after a first time intercourse when in my last day of my period don't no if is my hymen or period blood help?

Sure, but...: After voluntarily having sex for the first time, whether one's hymen is "intact" or not does not make a difference, must not make a difference, and therefore should not be allowed to make a difference. This is important to understand, in the grand scheme of equality for women in the modern world. No worries. That means no worries. Really.