Yes, and a purse snatcher hits, and you lost your gun. Its a convenient temptation, but not the best carry option.
As for purse snatchers, I’ve taken to using cross body straps on my purse. This way, I have it on me and secure. I’m looking for a new conceal carry purse of that style. Some of the better quality concealed carry purses have metal cable concealed in the strap, so bad guys can’t just cut the strap.