Regular expression to match a line that doesn’t contain a word

I know it’s possible to match a word and then reverse the matches using other tools (e.g. grep -v). However, is it possible to match lines that do not contain a specific word, e.g. hede, using a regular expression?

Input:

hoho
hihi
haha
hede

Code:

grep "<Regex for 'doesn't contain hede'>" input

Desired output:

hoho
hihi
haha