Depends on what sort of astigmatism and what sort of lenses.
Last time I investigated (about a year ago), daily disposable lenses were only available for astigmatism on a horizontal or vertical axis. Other wonkiness (like I've got) means you have to stick to monthly lenses, which are much less convenient because you need to have cleaning solution, cases etc, or compromise on the vision.
Things keep moving on though. Even the existing toric daily disposables have only been around a few years I think, so it would be worth asking your optician.
Of course there are other considerations such as whether your short- or long-sighted. If you're long-sighted, lenses are never going to give you vision as good as a pair of glasses can. And for some people, they just don't work at all.