Breeze entities are able to jump when they are suspended in mid-air, or can attempt to jump.

Steps to Reproduce:

1. Summon a breeze

   /summon breeze ~ ~ ~
   

2. Enter survival mode
3. Before the wind charge hits you, or the ground, deflect it back towards the breeze
   → The breeze will be knocked back by it's own wind charge, but before hitting the ground will (sometimes) jump before touching the ground.
   → The breeze would not be able to jump, as it is not standing on top of anything to be able to propel itself upwards.

Screenshots/Videos:

Breeze Jump.mp4

If the video is hard to make out, here is a run-down of the behavior:
Jump is interupted by taking damage:

Knocked back into the air, still retaining jump charge:

Jumping mid-air, towards a different direction:

Notes:

1. This behavior can also be observed by suspending a breeze mid-air using a /tp command in a command block

   tp @e[type=minecraft:breeze] ~ ~2 ~
   

2. This behavior is inconsistent when compared to other mobs that have special jumps, such as; slimes, frogs, rabbits, or horses.
3. Seeing as the breeze coils itself up like a spring when jumping, it's implied to the player that it is using the ground beneath them to launch upwards, rather than simply 'floating upwards' via other means.