Will my wall wrap stick to this painted interior wall?

Print a test image using the printer for the actual job. Print 2’ x 2’ size image with the same ink saturation as the real job. You should print samples of each possible media.
Allow print to outgas overnight. Apply laminate if needed.
Check wall surface for dust level as surface dust could impact adhesion to the wall. It is recommended that the wall be dusted off with a lint-free dry cloth. Spray the wall area with 50/50 (IPA/Water) mixture and wipe off dust and surface contaminants.
For uneven textured surface, install film on wall with foam roller slowly with heat gun softening the film 1” ahead of the roller. For smooth surface, install film with Teflon squeegee and post heat graphics.
After 24 hours of installation, observe for edge lifting or curling of graphics. Any sign of edge curl or lifting indicates the product is not compatible. For each sample that passes visual inspection, score/cut 3” of the print and peel it off the wall. If the graphics take effort to remove, then vinyl and surface are compatible. If time allows, come back 1 week later and cut off another 3 inches and check if graphic remained on the wall.
Select the product that best meets the criteria and required performance of the job. Permanent projects should have a product with the highest bond, while removable graphics should have a bond that is compatible but with a lower final bond.

Conduct a Media compatibility test for interior walls by applying a small test graphic, checking initial adhesion, and observing removal and surface reaction before full installation.