Not that I’m aware of. I see there was an issue created for it in 2020 but it never had any devs or anyone reply to it or take action. And I haven’t heard anyone speak of it as anything on the roadmap.
There are conversations happening on that. You can see where @Mattches actually responded to a question on that recently at Sync documentation for Profiles - #2 by Mattches
Also tagged him here in case Mattches might be able to say something more on profiles for mobile.