Highly unlikely at 12 weeks. Your are most likely feeling gas bubbles...which feel like the baby...but you'll learn the difference. Your baby is only about 3 in long or about the size of a medium shrimp...very small! Also you uterus is just barley above your pubic bone so anything that is not right at your pubic bone couldn't be the baby either.
Congrats on your pregnancy and you'll be feeling that little one move all of the time soon :-)
You wont feel movement yet if this is your furthest pregnancy. Maybe at 16 weeks.
More then likely its not, you have a few weeks to go. Usually around 16 weeks. This us my second, and st almost 12 I almost feel like I feel baby moving, but from my daughter, I know out is different. Gas, fluids, something. Dont worry, you wil know when its baby!