Can we have Cookie persistence profile when SSL pass through is configured.

No, this isn't possible. Without SSL offloading it isn't possible to modify the HTTP headers and payload. So inserting a cookie isn't possible.

Hello.

No, it's not possible. To configure SSL passthrough you use a Layer4 VIP, during this process no HTTP parsing is processed, so you cannot change that (you cannot either change any other parameter in the HTTP header).

NOTE: You can also use a Standard VIP with SSL passthrough, but if you are not going to inspect the content it's not efficient to do that.

REF - https://devcentral.f5.com/questions/ssl-pass-through-configuration

KR,

Dario.