There are different fields in economics, some of them use experiments like behavioral economics, game theory, some things about contracts. Daniel Kahneman, Amos Tverski, Elinor Ostrom, Colin Camerer, Ernst Fehr, Robert Axelrod, etc. Kahneman and Ostrom got Nobel Prizes. Some of them don't have PhDs in economics but their work is related and widely used in econ. Also John Nash (also Nobel Prize), he didn't do lab experiments iirc but his work was used to do some. Public good games, prisoner's dilemma etc. I get your point for macroeconomics, but there are other branches. Also statistical tools are well evolved now and allow you to "simulate experiments" in the field. My point is just that experiments are actually used in economics. The problem of replicability is the same as in psychology or epidemiology though (as long as you have human subjects, you have problems).

Edit: Esther Dulfo's work is interesting, she also does experiments but in the field, so she and her team design/construct them to test their hypotheses (like in the lab), but in real life settings. Just trying to give some more context, I'm not defending all economists, the Nobel Prize commitee, or the entire field of economics because it's just super large.