I don't see how, though this does bring up something I've been thinking about - some sort of catch-all mount system. Well, one may not serve every situation, but maybe one could cover a lot.

I'm thinking of something that would, at the very least, handle things of a typical flashlight design, that is, a round cylinder.

If you have a padded, curved surface area which would mount to the handlebars, then you could lay a fair variety of cylinder type lights on it. Then you could have some method of securing the light to it firmly enough so it can't bounce off. Maybe some really strong velcro strips. Maybe those strip things that you have to cut off to release (but if the batteries could be removed just by unscrewing the end of the light, you wouldn't need to remove the strips to change them.

I can think of somewhat more complicated variations, such as side supports that can be slid in or out to provide more security.

I sometimes wonder if some of the better flashlights may work as well some bike lights.

Meanwhile, since I have it and it just attaches by a little strap, I have stuck my Cateye 400 onto the bike too for my next trip. I'll probably just leave it on flashing, since it isn't very bright anyway. But it will attract attention while the Gen3 provides the real light for me.