Is it possible to have both profiles on Liberty 17.0.0.2. By both, I mean WAS traditional full profile and Liberty profile on WAS Liberty 17.0.0.2.
Technically, no. The only thing that uses that versioning is Liberty based products and the liberty runtime (profile) itself. These do not include anything with the full profile / traditional WAS.
In more practical terms, products like "WebSphere Application Server Base" or "WebSphere Application Server ND" 9.0.0.4 includes the 17.0.0.2 liberty profile as well as the 9.0.0.4 "full profile".