Is it possible on mobile?

Samsung

See ally's note, but also you can find NOcrypt's notebook and they have a "KEEPALIVE" step.

To generate images?

You should read my guide on getting started - it's not possible to run Stable Diffusion on your phone, but there are third-party services which do the image generation for you - https://civitai.com/models/22881/theallys-100percent-beginner-guide-to-getting-started-in-generative-ai-art

It is technically possible according to Qualcomm, but I don't know of any publicly available code yet. They claim 512x512 @ 20 steps in 15 seconds.

https://www.techspot.com/news/97744-qualcomm-ran-complete-stable-diffusion-ai-model-android.html