Yes, you can assign permissions to one or more users either at the module or page level. Open either the page or module settings and notice that just below the roles based permission grid you will see a control to add one or more users (by username) to the grid. You can then apply either view or edit (and custom permissions that a module may create) to the individual user.

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Bill, WESNet Designs
Team Lead - DotNetNuke Gallery Module Project (Not Actively Being Developed)
Extensions Forge Projects . . .
Current: UserExport, ContentDeJour, ePrayer, DNN NewsTicker, By Invitation
Coming Soon: FRBO-For Rent By Owner