I don't know of any digital frame that will do that.
You can connect a card reader to your computer and then use the computer to remove the unwanted picture files.
Caution ... do not put the memory card back into the camera.
The camera will likely be confused by the change in the File Information Block. And the camera might cause the card to be unreadable.
Buy a new memory card for the camera.
..
I want to surprise my wife by taking her SD card from her camera and putting it inside a digital frame and transfering it and erasing all the pics not of us and leave just the pics of us on the frame and have her wake up to it. What digital frame would be let me do that.

Chowhound
Comic Vine
GameFAQs
GameSpot
Giant Bomb
TechRepublic