Yes you can. Epoxy resin will make fabric stiff and rock hard after it cures. Be advised that, like most natural objects, epoxy resin may make fabric look wet and may even cause it to go darker or alter its colour. Try testing with water first - that’s what it will look like when you put resin on it.
Feel free to use ArtResin on any fabric you want, but we always advise testing first to make sure you know exactly what results to expect.