I would say practicality impossible if you use nice bike tubing (which is <1mm thick). It could just about be done with a lot of skill if you used 1.6mm mild steel tube and didn't mind slightly ugly and sketchy results.

It's not that stick welds are weak. The problem is controlling the heat on such thin material. You need to be very precise and careful or you blow holes. It takes quite a bit of practice to get this right even with the TIG.

If you already have a stick welder if it's DC you can actually use it for TIG with a torch and a few accessories. But you will need a bottle of Argon.