Yes—remote zoom generally requires a camera with a motorized power zoom lens, so fixed-lens compact “superzoom” cameras are the most likely lower-cost option. Based on the answers provided, some Panasonic Lumix TZ-series compact cameras support remote control through Panasonic’s smartphone/tablet app, including functions such as shooting, focus, exposure control, and optical zoom on supported models.

The main limitation is that Panasonic’s model support information is not always clear, so you’ll need to verify the exact camera supports remote zoom before buying.

In general, interchangeable-lens cameras like your T3i usually cannot zoom remotely unless the lens itself has a motorized zoom mechanism. If remote zoom is essential and you want to spend less than a dedicated PTZ camera, a compact superzoom with confirmed app-based zoom control is the most practical direction.