I got so distracted doing different things while I was packing, it's already evening and I still haven't finished.
この場合、次のような言い方ができますよ。
ーI got so distracted doing different things while I was packing, it's already evening and I still haven't finished.
「荷造り中いろんなことに気が取られて、日が暮れちゃったよ。まだ荷造りが終わってないよ」
to get distracted で「気が取られる・気が散る」
ご参考まで!