Why not? The Terran discovery of jump drive may have been an accidental outcome of gravitic maneuver drive research according to canon.
And anyway, a psionic teleporter can access extradimensional space by pure strength of mind
The setting would go on to define the game mechanics - however if we stick with the original and still in my view best (CT 77) then psionic teleportation is a game mechanics right there in the rules as written from day one, not setting specific.
Psi teleportation... meh. In some ways I hate psi in "hard" scifi. At least in B5 it was limited to telepathy.
I've read the description of teleportation and it doesn't invoke jump space. I suppose one can make a jump-space-y explanation. If anything, the gravitational energy delta limitation would militate against jump space. In RAW jump preserves the ship's real space vector. A teleport through jump space would preserve the vector. That's a big problem for a squishy being.
A change due North or South would result in lateral speed differential between the teleport and the ground, proportional to cos of angle differential. I might try to calc what it would be for a few distances, try to determine when it would become dangerous rather than a tripping hazard.
Teleporting Eastward would translate the teleport with a vector angling toward the ground, greater velocity for greater angular distance. Also diminishing lateral velocity. It wouldn't be hard to go far enough that it would be like jumping out of a moving vehicle.
Going 90° East would result in a huge vector straight down. On Earth that would take 10k km (level 10 planetary range) at the equator, and you'd hit the ground at up to 1666 km/hr the rotational vector of the surface of equal magnitude. Westward, the vector would angle upwards off the surface. That's OK if you can levitate or partially cancel gravity with self-telekinesis.
I often think of the story Limiting Factor by Theodore R. Cogswell (1954)--In the story a secret group of Psis called "Superiors" have been working for years to master their powers. They figure they are the next stage in human evolution, Homo superior.
However, the Superiors figure that when the ordinary Homo sapiens (the "Ordinaries") learn about the Superiors, it will be open warfare, and they will be hugely outnumbered. So the Superiors decide to build a spaceship and migrate to another planet. On they way they encounter an alien, apparently using psionics. Only he's not--he's got superior technology.
To the Terran Superiors' horror, the alien goes on to point out that while it is cute to use psionics, flesh is weak while technology is not. Sure one can walk from place to place. But to go faster, instead of trying to breed people with bigger legs, does it not make more sense to invent an automobile?