No. PocketBase runs on a server. It needs a host.

It is simple, so its single program is (1) a webserver, (2) runs server-side code, and (3) hosts a DB. I'm running a $12-per-month server on Vultr and its only service is PocketBase.

You don't need to host the webpages on PocketBase. If you wanted all your webpages to be on Github Pages, you could do that.