ATTN: All players for "P&N on PBW, take 2"

[Suicide Junkie]

No, not unless the game is using the FTL map.

But if it were, you would see 12 blue swirlies arranged around the edge of the system.
If you gave an order to move to one of them and then warp, you would end up in Hyperspace, and in a sector corresponding to the system you came from.

If you then wanted to travel to a system 30 lightyears away (3 map squares, quite close), then you would spend 3 MP to fly in that direction, to a stack of 12 blue swirlies. You'd give an order to warp into one of the twelve, and would appear in realspace, at the edge of the new starsystem. Where exactly you appear depends on which warppoint you give the order to travel through.
It is not random, there is a pattern to it. IIRC, the first WP in the stack goes to the top left of the realspace system, and the rest follow in a clockwise direction.