Will a verizon iphone 4s show that you have service even if unactivated?

I have verizon iphone 4s… There's "no service" showing in the top left corner. The iphone does in fact have NO service from verizon because i didn't pay any for it but my question is would the phone have service showing there regardless of if i'm able to use it? Like I want to make sure it's not a hardware issue.

Yes, it won't show any service. If by no service you mean no signal then you won't because its not activated. This applies only to iphones, not androids.