Colour web cams have RGB filters right on the sensor, so it would be hard or impossible I think.
Some mono security video cams use IR illumination ,so would be sensitive to Ha (Jaycar does them too I think), I would imagine with a long exposure mod that would work well.
you might like to check Jim Thommes site..he has done a lot of amazing things with a modified webcam, using narrow band filters. Jim has moved on recently to a more advanced camera -an Artemis- but look at his archives for some examples of his work with a basic webcam and filters