... in a manner of speaking.
Quantum teleportation is not what you think. Wikipedia does a good job of describing it:
Quantum teleportation is a process by which quantum information (e.g. the exact state of an atom or photon) can be transmitted (exactly, in principle) from one location to another, with the help of classical communication and previously shared quantum entanglement between the sending and receiving location.
This means that, unlike a Star Trek-type transporter, quantum teleportation does not mean that it is possible to "suck up" a quantum state at an arbitrary location and deposit it somewhere else. Not only must the target and source "cooperate" in some sense by performing measurements on the entangled state, there must additionally be a classical transmission of information.
This means that there are two places in the process where energy is already transmitted!
- The initial distribution of the entangled state.
- The transmission of the classical information.
Note that there is a fundamental connection between matter, energy, and information (as HDE 226868 mentioned). You can't send any information from one place to another without also sending some matter/energy to carry it. So the answer to your question is threefold:
- Quantum teleportation can (and indeed must) result in the transmission of energy.
- However, quantum teleportation is by definition a transfer of quantum states, so a process which transmitted "energy instead of information" (emphasis mine) would not be quantum teleportation.
- Additionally, our current understanding of physics does not permit1 either matter or energy to go from one place to another without also going through the space in between.2
1 By this I do not mean, "we don't know how to do it yet," but instead "such a thing is impossible to the best of our knowledge."
2 Wormholes don't violate this: when matter travels through a wormhole it still travels through space, it just takes a different route.