Definitely! I never thought about it up until now, but it seems that German and English have a stronger connection from their ancestry compared to the Italic/Romance languages French/Italian. It's a bit odd that they aren't more alike. Like Dutch for example which sounds to me like a German dialect, even though I never learned it.
Dutch and German are closely related, and share overlap with a good number of words.
English is sort of weird case when it comes to language, as it has effectively gone off in its own direction compared to the other languages it shares its roots with. Several books on the topic are available, such as Our Magnificent Bastard Tongue.