I don't know what a "standard tubing cutter" is - if you talking about one of those clamp-on things that you use to score around and cut copper pipe, then emphatically no. If you mean one of those steerer cutting guides, then sure. I cut CF steerers using a new 32 teeth/inch hacksaw blade (in a hacksaw, obv.). I do it outside to avoid inhaling fibers, and I keep dust down by wetting everything down with a hose periodically. I have a folding worktable with a couple of rubber-lined clamps to hold the fork. I use an old/disposable threadless stem clamped loosely to the steerer as a guide, and keep the saw blade against the top of the stem. Measure twice, cut once. Hold the saw lightly and let the blade to the cutting as you draw it across the steerer - don't lean on it or force it, or you'll end up splintering the CF. When you're most of the way through, rotate the fork 90 degrees to finish the cut, so you don't splinter the last bit. When you're done, use sandpaper (I use 220 grit) to clean up the cut edge.
While pretty much everyone agrees that the expander plug internally reinforces the CF steerer against the external clamping force of the stem, some folks also maintain that an long expander that extends down past the stem provides structural support for the stretch of steerer between the bottom of the stem and the top of the headset. I'm not sure I buy that, but certainly ensure that the expander is level with the stem to minimize any possibility of the stem crushing the steerer.