vim: delete to character, non-inclusive
Yes, dt;. From the Vim docs:
t{char}
Till before [count]'th occurrence of {char} to the right. The cursor is placed on the character left of {char} |inclusive|. {char} can be entered like with the |f| command.
To add to what Michal said, you can also use T and F to do the same thing backwards.
Also ; will repeat the last t,T,f or F motion, and ' will repeat it in the opposite direction.