That's provable; with no closed loops, any pair of points on the paper can be joined by a long enough line. That's why it's a good analogy for code.
...but if you, eg. a system for this; Use straight lines only and space the lines equidistant from other lines.
I mean, it's a game. Literally play the game a few times (grab a friend and do it together) and you'll very quickly figure out things that do work (leaving space) and dont work (draw crazy squiggly lines and lines that are too close together).
This is just a contrived example; if you want to make it more realistic allow 'you can erase a line and redraw it as long as the requirement is maintained', and then you can structure lines into groups, etc.
Whether you use structured code (straight lines and spacing) or squiggles (spaghetti code) is up to you as the developer implementing the requirement.