Kind of, yes. My boyfriend is deeply connected to me, we understand each other and know what we are thinking like I am a part of him and I his. Our personalities match impeccably. This is the biggest reason I will marry him. Aside from all our thoughts and ideas matching in some way, we also have the tendency to appear exactly when the other one is just done with work or business, like "I was just about to call you!" but happens a lot more often with us.
I don't think it's magical, but it does feel very divine and deep.