Possible to show client's profile?

Sure, the only thing is that your client will need to connect their account.
So either they do it by themselves or you ask for their LinkedIn credentials to do it for them.
Also notice that the connection expires after 60 days, so they will need to reconnect every once in a while to make sure the profile is up-to-date

I see, in the past I managed to do this using another plugin without handing over credentials but I suspect this has changed at LinkedIn’s end. Thanks so far.