What are your goals? Does any park have am EMH on your day? Where/how will you use fastpasses? Where do you want to eat lunch/snacks?
Depending on what you want to do at each park, I'd keep the Narcoossee's dinner. You can do at least some things at each park and still make that.
I did 4 parks/1 day in April this year; my goals were to hit some favorite things in each park and get my photo with Mickey and Minnie in each park. It was a fun and successful day.
Quick rundown:
RD at DHS, did TSM, Star Tours, m&g with Phineas & Ferb, Sorcerer Mickey, and Minnie in her (now defunct) spot in the animation bldg.
Boat to Epcot.
Lunch at Tangierine Cafe (one of my must-dos for the day), Character Spot for photos with Mickey, Goofy & Minnie. Walked around & took pictures of topiaries/F&G displays.
Bus to AK
Met Mickey & Minnie, did the Safari and Maharajah Jungle Trek (really wanted to do the Nemo show on this stop, but the schedule just didn't work out).
Bus to MK
Met Minnie & Daisy at Pete's Sillly Sideshow, Move It Shake It dance party, FPs for Meet Mickey, 7DMT and Buzz, got dinner at Pinocchio's, did IASW and Monsters Laugh Floor, hung around for Wishes.
If you're not trying to do everything but are happy just hitting some favorites at each stop, I think it's doable and fun!