I make Asian dumplings of all kinds all the time - either just steamed in a bamboo steamer, or steamed & then fried as pot-stickers.
I really don't have the time or inclination to make the dough myself - I simply use readymade wonton or gyoza wrappers (I believe the brand is "Frieda") that are available in nearly every supermarket these days. They're usually found in the produce section in the same vicinity as the tofu.
They are unbelievably easy to work with, seal up perfectly in any way I wish (folded, open top, beggar's purse), & I can concentrate on just making a tasty filling. Not to mention I can turn them out in a flash without having to deal with all that dough rolling.
I recommend them highly.
(Oh, & they also make awesome homemade ravioli as well!!!)