It's sortof unclear what you mean. I'm going to assume you want: "Evolved method an alien uses to teleport unspecified distances without using supporting artificial technology."
Since this is science-based, your answer is "no". You can't do this.
First, teleporting is hard:
- Teleportation (instantaneous) is not possible according to known laws of physics.
- Teleportation (via wormholes) is (maybe?) theoretically possible, but absurdly complex, comes with relativistic gotchas, and requires support structure outside the host organism.
- Teleportation (quantum information over classical substrate) requires the organism to destroy itself, and then be reassembled by support structures at source and destination.
So teleporting is only dubiously possible, and at that it requires (currently magitech) support structure outside of the object being teleported (to handle dissassembly, or propping open a wormhole mouth with negative energy, if such can actually be produced).
This means that it's not inconceivable that a highly advanced civilization could construct "stargate" type point-to-point devices using their extremely advanced technology developed using focused R&D backed by solid mathematics and physical theory.
Essentially what you're asking is for biology to replicate this. This is not something evolution can do.
Evolution works by gradual changes, and you get complex features (eyes, brains, etc.) by arranging them out of simpler components (light-sensitive cells, neurons, etc.). Evolution works because partial successes confer a survival advantage. The light-sensitive organelle in the single-celled Euglena gracilis isn't an eye by a longshot, but it's a lot better than nothing at all.
This doesn't apply here. There's no partial success. If you can get halfway to a teleporter, say by dissassembling yourself into energy ready for transmission, you don't have a survival advantage. You've just turned yourself into exploding goo. And you don't really have any way of creating the necessary support structure either. You have to come up with some symbiotic relationship of biological co-evolution that produces teleportation of half of itself as an emergent side-effect. Erm, no.