Certainly capable, and in different ways.
Of course with iRules: https://support.f5.com/csp/article/K42210592
Or with the logging profile: https://support.f5.com/csp/article/K00847516
Where it ends up is also up to you, there are multiple possibilities. What exactly do you mean with historical logs?
Thanks Boneyard for replying me!
By historical i mean, what happend in past with HTTP request (POST) when request came to VIP in past time , for ex:- what happened to http request yesterday at 8:00 pm. And during that time no irule or logging profile is enable.