That will never happen.
The thing is when you are traveling through space, your character and boffs don't exist like the they do in ground play.
Your ship literally is your character in that moment.
And vice versa, when you are in any ground environment, that includes your ship interior, your ship does not exist anymore.
So no, when you are on your bridge you can not be found, seen or interacted with anywhere else in the game.
So there is nothing to travel anywhere.
Effectively your bridge is the same as sector space. An environment for you character to interact with. You can not be in two places at once.
The only feasible workaround would be a simulated travel.
Go to your con station and click on a destination. The system would than calculate the travel time based on your previous location and your ships maximum speed and start a timer.
When that timer has run down, you get a prompt to instantly transport to that new location.
But even then there would not be a ship flying through sector space for others to see.
And it would require significant programming time for a feature that effectively can not be monetized or even has influence on the larger meta game. So is possible but highly unlikely.