Is it possible for a Launchpad PPA to support multiple Ubuntu versions such as 10.04 and 12.04 when the package itself was built on a 12.04 machine? When trying to add the PPA to a older machine, it gives an error saying it was made on a 12.04 system and that it could not install.

I'd like sudo get-apt-install my-app to work with both 10.04 and 12.04, and I am new to packaging and PPA's so I do not know if anything like this exists.