Theoretically there's nothing 'wrong' with traveling faster than the speed of light.
Just as in the same way there's no problems for us traveling slower than the speed of light.
It's just there's a catch - at the speed of light you need infinite energy, have infinite mass, time stops etc... and if you are just 'near' the speed of light [either side] the effects are also quite problematical for your day-to-day life.
This means that objects traveling very very fast on our side of the light-barrier can't readily accelerate without dire consequences, and in the same way objects traveling above the speed of light can't readily decelerate down towards the speed of light either.
So ne'r the twain shall meet!
We are talking about transporting information, as much as physical objects here...
The 'alternative' idea of 'warping' space itself... so that an object has less of a distance to traverse in the same time-frame could have the same effect as traveling faster than the speed of light... but controlling the forces involved in doing this 'wormhole' [or similar] in a way that doesn't squish the traveling object so much that its information is lost, have not been worked out at all well!
Since 'you' are going to be the most important bits of information in the object that is traveling this way, then your chances of 'you' still being 'you' at the other end are, at the moment, very slim...
Also, let's say you did successfully go one way down this 'tube', then how would you return ? Any given 'wormhole' is probably going to be transitory and difficult to fine-tune in where/when it ends up at all, let alone doing it in the exact 'reverse' way - so you might easily arrive back before you left or return long after you departed, either way this would not a satisfactory result...
Unfortunately 'Star Trek' et al is/was made with little basis in reality...
Although I really do hope that someone somewhere manages to sort out this seemingly insoluble issue... I won't be one of the first volunteers... ๐ฎ