Scrolls are magic items and magic item creation is strictly up to the DM. The DMG has some optional rules for creating magic items in general. Xanathar's Guide to Everything has a different set of optional rules for making magic items, with special cases for spell scrolls that make them easier to scribe. Either way, it's up to your DM to allow it.
Clearly Sorcerors can read scrolls.
Can they scribe one?
Scrolls are magic items and magic item creation is strictly up to the DM. The DMG has some optional rules for creating magic items in general. Xanathar's Guide to Everything has a different set of optional rules for making magic items, with special cases for spell scrolls that make them easier to scribe. Either way, it's up to your DM to allow it.
The Forum Infestation (TM)
I see. Xanther says they need Arcana and to be able to cast the spell. Hopefully the DM will allow it.