Maybe. Bullets for 9x19 are typically sized .356 while the typical sizing for .38/.357 is .358. Using undersized bullets usually causes leading, though I'm not sure whether the coating would mitigate that, and would require a 9x19 expander. Also, when I tried using standard 230-grain coated RNLs for my .45 ACP revolver loads, normal recoil turned that gun into a kinetic bullet puller. I haven't tried taper crimping coated bullets in a .38 revolver - that 160-grain bullet doesn't have a crimp groove - but based on my experience in .45 ACP, I would view that as a last resort choice. Those bullets have worked well in .38 Special when not coated and sized .358, and several places offer them sized correctly and coated, so my concerns about the coating, in this case, may be overblown.
Bottom line, if Brass Monkey doesn't have any .38 offerings, go somewhere that does.