those items indeed exist, but obviously the boot doesn't have charge on it.
so let's skip the obvious exception that is reviler's helm and that meditate torque...and just say the chances of the boot granting jump ability is more or less zero, and whoever actually think it does either have overactive imagination, or slightly retarded.
PS: Reviler's Helm is from Vrtra.
____________________________
I am the bone of my katana
Chainmail is my body, and shihei is my blood
I have purchased over a thousand toolbags
Unaware of the gil loss
Nor aware of the inventory gain
Withstood pain to create many shadows
Waiting for utsusemi's recast
I have no regret, this is the only path
My whole life was Unlimited Gil Waste