Don't pull my arm so hard. It feels like it's going to come out of its socket when you do that!
Don't keep pulling my arm like that! It feels like you might dislocate it!
ーDon't pull my arm so hard. It feels like it's going to come out of its socket when you do that!
「そんなに腕を強く引っ張らないで。腕が抜けるだろ!」
pull one's arm で「腕を引っ張る」
come out of its socket で「(腕が)関節から抜ける」
ーDon't keep pulling my arm like that! It feels like you might dislocate it!
「そんな風に腕を引っ張り続けないで!脱臼しそうだよ!」
dislocate で「〜を脱臼させる」
ご参考まで!