it depends… if they use the same authorization server, then I’d say yes, if the subject is assigned to the remote application as well.
I do not have admin access to verify the authorization server however in my okta home page, I can see both the apps (SP1 & SP2). Also in by browser, when I am logged into the first SP, I am not asked to login again for SP2. So I guess that both are using the same authorization server.
The subject is also available in both the applications.