Should be OK - take it gently!
Most glass folks will use a variation on a wheel-based cutter.
I use mostly pistol-grip cutters (3rd one along on this page)
but that's just because I find them easier, and it's less strain on the wrists after a day cutting glass. The 'pencil-grip' type should be fine for what you're doing. Experiment to find a way of holding it that lets you get enough pressure, without stopping you from being able to 'guide' it.
Find a spare bit of window-glass, and cut a 2"-wide strip. Then start off making short cuts across the glass to make it into 2" squares (if it's a bit second-hand, don;t forget to clean it well first. The slightest bit of grit on the glass will make your cutter 'skip', and that's not going to help.)
Once you've got a stack of perfect 2" squares. Cut yourself another strip, and then practice cutting 's'-shaped lines across it.
Once you've done that, you'll have got the feel of it, and you should be able to have a go at the actual job.
Adrian