Is there a PokeBonk app?

No. According to the game's own legal page, PokeBonk is only played on its website, so on a phone you simply use the browser. Treat any "PokeBonk app" or APK with suspicion.

What about "Add to Home Screen"? Your browser may offer it, but it only creates a shortcut to the website, and it still needs a connection.

Once you're in, the touch controls are a joystick on the left to move, drag to move the camera, pinch to zoom, and buttons on the right for jump, slide, Ultimate, lock target and interact.

The PokeBonk mobile guide covers settings and performance, and PokeBonk.gg has more guides. PokeBonk.gg is an independent fan site, not affiliated with Charcher.