Possibly, Under Settings > User Settings. An option could be added; along the lines: "Offline PvP: Allow other players to battle your account 1v1 2v2 3v3 anytime.". Option can be checked/unchecked, based on user-wants.
Those accounts having their option unchecked; 'Go on a vacation, when not logged in for a week..'
Looks good? =P
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