Umm...well...you can ask...but in reality it is quite not so straight forward...that's if you want to be in right side of the law. In closely built up areas your only option is to trap(or poison but it can be tricky to do) and then dispose off those trapped animals 'humanely', and that can be 'fun game' to do. In practise squirrel 'removal' can be more trouble than it is worth it. If you trap grey squirrel, it is illegal to release them into wild again and it is illegal for you to dispose them off 'just like that'.
Fire arms are not allowed to built up areas neither....
You might need land owners agreement to deal with the issue...
Professional help can become costly....
And those are only few issues I can come up from top of my head. I think you would raise much more interest from committee if you do good research for you options...price it all up and present it to them as package of options with other members support...it should tell them that you are being serious. I would certainly contact professionals and council's pest control for further help and ideas.
