The fact there is exactly ZERO commonalty between their alphabets, ZERO cognates, and one is written L-R but the other is written R-L is proof of that.
The Hebrew alphabet is basically the same as the Phoenician alphabet, but at some point the Jews adopted the Aramaic letter forms which are a bit different from the early Phoenician letter forms.
So even though the current English and Hebrew alphabets are quite different, they have a common ancestry. There aren't any cognates between English and Hebrew, because they are from different language families, but there are a number of Hebrew loan words in English. Amen, hallelujah.