I injured my hand, not just once, but several times in different places.
I hurt my hand several different times and in different places while working.
この場合、次のような言い方ができます。
ーI injured my hand, not just once, but several times in different places.
「手を一度だけでなく何度も異なる場所を怪我した」
to injure で「怪我をする」
several times in different places で「何度も異なる場所に」
ーI hurt my hand several different times and in different places while working.
「作業をしながら、手を何度も異なる場所に怪我をした」
to hurt で「痛める・怪我をする」
while working で「作業中に・作業しながら」
ご参考まで!