No, a station that can be relocated but isn't a ship. Jump drive is not an engine that allows precise movement, so you can't really be effective in combat against ships that can simply move around.
What you're describing has already been suggested and is planned, though not exactly like this.
If I wanted just to install factories/shipyards on ships I would have just added a "mee too" to other similar suggestions (I know how to use search function)
And for the record, stations are meant to be stationary, not mobile. Otherwise, they are not stations at all, just a different kind of ship.
Many real-life structures are technically movable even if the are supposed to be stationary for most of their service life (oil rigs for example), stations are just another example, they are just big satellites not touching anything else, there is no real reason to have them rooted in place permanently.
That's why I'm saying that allowing to relocate stations with in-game systems like a simple jump drive is cooler than:
-blueprint it or use the build mode copy-paste function,
-nuke the whole thing with remove mode of advanced build mode,
-go somewhere else with a ship,
-spawn the same station with the same blocks out of thin air (which is what I can do right now).
Or when they eventually remove the blueprint system and move all the building to shipyards or in-game structures anyway (I think this was planned for ships at least), you could have the stations built in there too, and moved to their final location with the jumpdrive.
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Um... I cannot see any validity to your proposal. sorry.
Why? You prefer having ships with factories/shipyards?
You think it is exploitable?
You are fine with having to tear down stations to relocate them?
Else?
Please explain why, just saying "I don't like it" is not really useful critique.