Unfortunately, the answer is YES ... the 'recipient' of the bag will most likely be assessed Customs duties, regardless of the carrier (DHL) that is used.
Ever since 9/11, Customs has become very strict on parcels sent from overseas (especially large & heavy ones - Chloe bag = heavy!).
That being said, while you will get the VAT (Value-added tax), Customs will require the appropriate documents with the parcel. If these documents (e.g., what it is, weight, COST, etc.) are not in order, Customs WILL NOT RELEASE IT!!!!!!!!!!!!!!!!!!!!!!!!!!! This has happened to me too many times when I've ordered stuff from overseas.
So, here's what I do ... I CARRY the item myself. Yup ... it's actually easier. Just declare the item when coming back into the states. Customs may ask to look at it, but generally speaking, they will probably just assess the duty and you will be done with it. If you attempt to "sneak" it in, and you get caught, you will find yourself in a heap of trouble (believe me, it's not worth it ... I know someone who did this, and she is FOREVER on their "list" now!).
Quite honestly, having brought in many Louis Vuitton, Balenciaga, Hermes bags from overseas, I find this to be the easiest. Also, interestingly enough, the Customs folks keep records on you ... as such, they know that I typically purchase a few handbags. When I come into Customs, many times they let me go without paying any duty (because they've said that they appreciate my honesty!!!). Honesty is the best policy - ALWAYS!
Good luck!