Nope. Doesn't work.
When you got to the bar, there was no girl, so there was no chance to flirt.
You are probably correct in your assumption about the expression. "There is nothing like a dame" (to quote a popular song, I think from South Pacific?): that can mean the speaker feels that a "dame" is the best possible thing in the world. It could also mean there is simply nothing comparable in some other fashion. For example, "There is nothing like a woman driver!" would have an entirely different connotation.
Student or Learner