I didn't think so, but I figured I'd check as it's possible I had a brain fart.
This looks like something that was in the movie rather than a photo done expressly for promotional purposes, so I figured it would fit on our page for The Muppet Movie deleted scenes. I'll do a scan in the near future. Thanks!
I saw scans from the script posted on the wiki and saw a couple Sweetums scenes written that didn't make the final film (which weren't noted when Tough Pigs did an article about the script), one had Sweetums riding on a train cart (which seems to have been replaced with him running out the tent) and another had him running past Mt. Rushmore.