If your filter cartridge has carbon in it, then yes.
However, if the cartridge has foam stuff around it, then I would be cautious in doing this, as this is most likely where the your beneficial bacteria are, and removing them is only going to cause problems.
Whereas the trigger for algae can be identical for many types of algae (simply light and traces of ammonia,) the understanding of the particular type of algae your tank happens to get and some of the more specific things that might help get rid of it more easily and keep it away are highly specific to the type of algae. There are indeed many good discussions of this in the planted section and pinned articles and links that help.
If your filter cartridge has carbon in it, you could potentially cut open the filter cartridge and remove the carbon, that way you are not loosing the benefical bacteria on the foam. Also, a snail is a great way to help keep algae under control, they are not expensive and if you do not over feed you don't run the risk of over population.