With the new crew update we can now dedicate crew to supply storages and to create so called supply lines where one factory supplies several areas. But at the moment crew is too expensive compared to factories (or factories too cheap compared to crew) for that to ever be useful (aside from a few edge cases).
It's a little more useful with reactors (and will be even better with large reactors most likely), but not with ammo and ammo storages.
I want to start discussion on this matter and suggest a few things myself to make this aspect of the game more interesting.
My suggestion:
Add large factories along with the (upcoming) large reactors (or in a future update) that make ammo production significantly more effective at the cost of the complexity of creating supply lines.
Alternatively you could instead make existing factories able to supply much more weapons and increase their cost and power consumption to compensate, but this will be a significant nerf to smaller ships, so most likely it's not a great idea.
Additionally it would be great to have larger storages (or increase the capacity of the current storage units).