@AKhilNadh. Sorry for the previous incorrect answers.
Look at this conflict serializable schedule.
T1 T2
------------------------------------
Shared(A)
R(A)
unlock(A)
exclusive(A)
W(A)
unlock(A)
------------------------------------> At this point,T1 cannot acquire lock on B under 2PL.
W(B)
So, answer is every conflict serializable schedule is not always possible under 2PL.