Im DEP in For The Navy & I Am Being Shipped Off To Basic Training On The 16th Of February....?

& My GF just found out that she is 5weeks pregnant and my recruiter told me I couldn't get anyone pregnant. So I was asking if it was possible to keep her being pregnant quiet till after I get out of basic training and A School? And just act as if we both just found out when I'm out of basic and A school? The baby is due in Sept, and basic is 9weeks then I go to a school for 61 days so I wanted to know if that could be possible and what could happen? Any help will be greatly appreciated thanks