If you already have a BS in another field, you might be better off taking Georgia Tech's MS CompSci (https://www.omscs.gatech.edu/).
So unless that other field is Math or computer-related, then that's not really going to work, which is why I specifically mentioned "another field".
[0] - https://www.omscs.gatech.edu/program-info/admission-criteria
No it doesn't.
"an undergraduate degree in computer science or related field"[0]
[0] - https://www.omscs.gatech.edu/program-info/admission-criteria
Coming to specifically the question, if you need a BS in Computers, then from personal experience, yes, your changes are much much higher if you already have BS.
If you don't, then they'll look into your SOP and related work to see if you good exposure to Computers.