Yes.
From the DL Site -
"
I have the American Express PlatinumŽ Charge Card. Do I have Access to Delta Sky Club?American Express Platinum Charge Card Members have access to the Delta Sky Clubs in conjunction with same-day travel on a flight operated by Delta. This does not include Platinum Delta SkyMiles Credit Card and Gold Delta SkyMiles Credit Card Members. At partner lounges, guest access is subject to the policies of each lounge partner. Delta Sky Club cannot guarantee guest entry at partner locations."