From SDA Knowledge Base
Main characters can jump to increase speed a bit. It is also possible to jump on/over enemies, but it is not possible to jump again while running on enemy heads!
From the chapter selection level. You can jump over the second chapter's gate while perpendicularly aligned to it. It is possible to finish the game by playing the first Chapter once and then playing the second Chapter four times if it is faster than running later chapters!
You can also jump over doors in levels of Chapter II. This can be done on most corners that have two metal plates around them by jumping on them multiple times.