Yes, it is easy to do. Unfortunately there is no data that CS can use to recover it for you. They don’t have that for D2, D2R, or D3.
The Devs do realize though that the UI is causing a fair number of accidental deletions and the cost of those is not minor. It really hurts to lose a char you put a lot of work into.
There was a post yesterday in the Tech Support forum about it. The Tech Support forum agent said that they Devs are aware of it - so hopefully they do make a UI change.
Besides, if they fix the UI to prevent accidental deletions, they can determine if any chars are REALLY still vanishing just on their own.
Here is the Tech support post where the Support agent was looking into missing chars.