Yes, or if you OLCI on a PC (and print) then you'll be able to see whether your status is showing on the BP 24 hours beforehand.

For the most part, at most stations, it's the boarding pass that grants access (if you'd simply bought a Club or First ticket then you wouldn't necessarily have a card).

The most notable exception to this rule is at airports with third party lounges and ones which issue specific lounge invitations at check-in.