Absolutely! You can add the Bisley trigger as WELL. If you buy the Bisley frame new, it will need to be fitted to the mainframe, it's supplied oversize and in the white. Then get it blued if it's for a blue gun. So if you find one used, you'll save a few dollars, it'll save a lot of work and fit close enough, and you won't have to have it blued.
If you have a blue gun and get a stainless Bisley grip, that saves bluing cost and looks good too. And you can defray the cost if you sell the original standard grip frame to me. I need one.