Yes, there are all kinds of these reels, and usually you don't even need to attach the film at the end, even if the reel has a clip or a Kindermann-style punch in the center. It's often quicker to load without the center clip, because the film centers itself naturally when it isn't held in place, so there's less risk of a misload or crimping later down the line.

The only problem with leaving the film loose in the center is that you can start pushing the film so it spools up in the core, if you're not paying attention. With 35mm this isn't usually a problem, but it can be with 120 or 220, where you don't always have so much leader between the end of the film and the last frame (depending on the camera, the format, design of the camera back, etc.).