Can you lift something heavy like this by yourself?
この場合、次のような言い方ができますよ。
ーAre you okay carrying something heavy like this?
「こんな重い物を運ぶのだいじょうぶ?
to carry something heavy で「重い物を運ぶ」
ーCan you lift something heavy like this by yourself?
「一人でこんな重いもの持てる?」
to lift something heavy「重い物を持ち上げる」
ご参考まで!