I,m living here with my kid. Now kid,s father is trying to remove kid from States to his birth country . What about this? Is this possible?

Well, if I understand your facts correctly, then yes, it is POSSIBLE, but that result is not very probable, unless there are other important facts you have note mentioned.  First, review: http://willicklawgroup.com/child-custody-and-visitation/ Then you really should schedule a consultation with this office or that of another family law specialist, and go over ALL the history, facts, circumstances, communications since the child was born, and any current court filings, determine what to do, and then execute that plan.