Yes, they're called double jumps.

For repeated uses, I'll use these. (1) Double jump after entering the other room. This one doesn't save time, but it makes it easier.

Level 2 - (1) Level 21 - (1) Level 23 - Jump past the first spike and double jump to the key. Level 33 - Jump past the first spake and double jump to the key. Level 36 - (unsure if this saves time) After going below the first platform, double jump to the second. Level 43 - (unsure if this saves time) Double jump to the key platform. Level 47 - Double jump to the exit. Level 53 - Double jump to get the key. Level 59 - Double jump behind him. This one doesn't save time, but it makes it easier. Level 62 - (1)

The actually important ones are 23, 47, and 53.