You know, I think that works. You apply Boomerang Ricochet first, hitting the first target. This now hits the second target. Since you've just hit a target you can trigger Chakram Ricochet, which allows you to hit the first guy a second time.
Of course, by RAW Chakram Ricochet just keeps working, because it triggers every time you hit a creature with a thrown Chakram... so it would keep bouncing back and forth anyway until you missed (the stacking -2 to hit would be a problem soon enough).
But even without that, you'd probably need an Aptitude Talenta or Xen'drik Boomerang, since you can't get Boomerang Ricochet with that enchantment (the feat doesn't apply to just one type of weapon). But it does get you Chakram Ricochet.
JaronK