How to secure wood to stucco wall without drilling.

I'm a renter, so I can't alter the outside of the house, but I want to build a catio on the back patio. The house already has a latticed overhang for shade, which I will use for the frame, but each side of the catio will terminate at a stucco wall. I need to secure the catio so the cats won't get out, but without doing any damage or change to the house itself. Any ideas?

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