If energy is movement, how come I get tired just from holding a heavy object?
(multiverse.soulism.net)
In principle, yes. In the lifting scenario, a portion of the work done by your body becomes potential energy of the weight, so only some behind waste heat. In the holding-up scenario, all of the energy becomes waste heat.
In practice, though, I don't see how you'd know exactly when to stop in order to meet the "same amount spent" condition.