Can You Beat Alex Kidd in the Enchanted Castle Without Jumping?

Alex Kidd in The Enchanted Castle, one of the oldest Genesis games around, (I can't believe it came out in 1989!) and a pretty simple yet scary platformer overall. If there's any game of this genre I'd expect to be beatable without a single jump, it'd be this one. Well, I decided to put that to the testo...
But some of the items the Kidd has at his disposal might actually make the challenge too easy. This lead me to come up with a ranking system of sorts so I can't just Wizard Cane or copter my way to victory without a single thought.
Check out this playlist for more silly challenges, including No Jump challenges of two other classic Genesis platformers: Dynamite Headdy and Ristar: • Is It Possible