LineageOS for Samsung Galaxy Young (S6310)?
You didn't look hard enough, but it's probably not your fault, because 1) the site of LineageOS (LOS) does not list devices formerly in the CyanogenMod (CM) build roster, and 2) the device is never a member of the official CM/LOS queue.

There are a bunch of unofficial CM builds on XDA-Developers, all the way up to Android 5.x, with various bugs. See for yourself if you could accept them, and flash them with caution.

However, as for the problem you're attempting to solve (storage space), regrettably no custom ROMs will remedy that. Repartitioning will do, but 1) your device doesn't have a solution for such, and 2) being a low-end device, the storage chip itself is too small for repartitioning to claim space from.

TL;DR: "you could, with certain risks"