I don't think OP is inferring that the Packers would still *play*, guys. She's wondering if the Packers would be able to use team facilities and such. Remember, a lockout is literal; the doors are closed on all team facilities to the players.
No, the Packers still have a team president, who would side with the league, not the Players Association. You have to remember, the Packers do have shareholders, but no significant ones, which is the point. The Packers shareholders have relatively little administrative power.