Apparently the answer is now yes:
https://news.delta.com/coming-soon-w...elta-sky-clubs
4. EXCLUSIVE DELTA ONE CLUBS PLANNED FOR JFK AND LAX
Plans are underway for the first-ever lounges dedicated to Delta One customers. Delta One-exclusive lounges will open their doors in JFK and LAX in 2023 and 2024, respectively, as Delta invests further in those key U.S. gateways.
The JFK Delta One Club will be located near Concourse B in Terminal 4 and measure approximately 36,000 square feet. The Delta One Club at LAX will measure approximately 10,000 square feet and connect to the recently opened Club on Terminal 3. At both Clubs, visitors can expect a dedicated level of service that elevates the lounge experience for Delta One customers.
As more customers return to travel this summer, updated Club access policies will help ensure an elevated Club experience for all guests. For more information,
visit Delta.com.