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To partition something or a portion of something with a screen or other barrier to make it private or obscure it from view. A noun or pronoun can be used between "screen" and "off." To save money, Chris moved into the living room and screened off a space for his bed with an old bedsheet tacked up to the walls and ceiling. They've had to screen the movie set off with a giant makeshift fence so that onlookers don't learn any secrets about the film.
To separate, hide, or obscure something with a screen or similar barrier: I screened off the bed from the rest of the room with curtains. A high wall screens the porch off from the view of the ocean.