Yes if you opt out your mandate.
According to the Barnier Directive, you can choose different collecting societies, but you've got to opt out your mandate. For example, you can choose that collecting society A is responsible for live events and online, while collecting society B is responsible for radio and TV and phono-mechanical.
You can also opt out your mandate for territories, meaning you can choose to join different collecting societies to collect your royalties in various countries.
Regardless of which collecting society you choose, it's very important that you find out about the deadlines and procedures to opting out, as these can vary from one organization to another.
Finally, you should keep in mind that the restriction in Europe applies to authors and publishers and thus to the entire repertoire, not to the single tracks.