Is surviving in the arctic with nothing but a t-shirt hard? ?

yeah not for very long. Hypothermia would set in within seconds given the ambient environmental temperature which would cause you to basically shut down. youd die pretty quickly after as your core temp dropped. 

That wouldn't be possible.

By the time the snow melted you'd have frozen to death.

We all hope you gain the courage and moxie to attempt such a feat.

Tell me, how does a t-shirt melt snow when the temperature is below zero?  But anyway the real issue is that you'd die of hypothermia before you'd die of thirst.  Roughly speaking you have 3 minutes to live in cold water, 3 hours to live in cold air, 3 days to live without water, and 3 weeks to live without food.  Those should be your priorities in any survival situation.