The paternity of the child is also an issue. She says it is mine, but I know there is the possibility it is not mine. She has threatened to travel out of state to have the child without my knowledge also.

*moved from Adoption*

What state are you in? That would help us give you better answers.

Im from Texas

The answer is YES. It is possible.

... She has threatened to travel out of state to have the child without my knowledge also.

The child hasn't been born yet? You don't yet have any rights.