Not natively, but with help of containers. I found two projects and to be honest I don't know much about them yet, as I still use Android for device warranty reasons. (But I am eager to try as soon as the warranty expires.)
Anbox (discontinued since this year):
- https://ubports.com/de/blog/ubports-blogs-nachrichten-1/post/android-apps-on-ubuntu-touch-with-anbox-3115
- https://github.com/anbox
Waydroid took over and looks promising. https://waydro.id/
Of course you could also run Android emulators, but such container applications like Waydrois are more efficient.