years ago, there was an App for Android and iOS, maybe this App still exists (I'm not sure).
But in general it is possible (but not very easy) to play SpaceInvasion with a Smartphone in your webbrowser.
Please have in mind, that you can turn on and off the "Desktop version" (Settings) in your mobile browser. I prefer the Desktop version while using my Smartphone, but both versions are not the optimum to play SpaceInvasion at the moment. In my opinion, this is one of the next things to work on in SpaceInvasion.
The mobile Version looks like this: