Do you mean "like" or "LIKE like"?
Just kidding. If you're referring to a hinted relationship between the two, than yes, it was stated in Episode 1 commentary that the developers were trying to build a relationship with the boundaries of Gordon not being able to, well, talk. Also, in Episode 2, Alyx seems embarrassed when Eli suggests that Alyx and Gordon "do their part."
Also, who can't like Gordon Freeman?