Can Ubuntu touch run VS code?

It can in theory run anything Ubuntu 16.04 can run, but that's not an application designed for a small screen, also for the power consumption needs of a smartphone, also there's no good way to install (UT doesn't have snap support, and lots of deb package dependencies might be missing). You can possibly find better options for UT on the Open Store at: https://open-store.io/?category=Developer%20Tools