Yes. Your relay list is an event that all clients have access to. Unfortunately, some clients do not support this functionality and use their own cached list.
Discussion
So which clients on desktop and android are safe to use in terms of supporting all the NIP?
All nips none. Because different nips have different and in many cases conflicting objectives. But for your question, Amethyst for Android works and can configure and use your relay list.
Thanks for the suggestion. Currently using Amethyst and Primal on Android. I like the UI of Primal better. But sometimes it falls short. Amethyst is feature-rich. But the UI can be more polished like Primal.