Something similar has been implemented already, in the defense mode. Granted, those menus are a little dated, but it wouldn’t be starting from scratch.
An interesting possibility is selling profession items you don’t want. Maybe your nicotine addict ran out of cigars before the crash, gets a slightly tougher time at start with the addiction hitting, but managed to nab a tool or weapon on the way to the shelter, or just a winter coat so they can brave the early game cold more easily.
It could also lead to customizable cyborgs.
With professions coming with varying amounts of cash and items having a price, if a nice $/point ratio is found, it could lead to making the point costs of the professions more consistent as a side effect, which would also be nice.