Yes, but its actually a little more twisted than that. Major spoilers ahead! The relationship between Glados and Chell is actually 1 part family and 1 part lover. So there really is a kind of Oedipus thing going on.
Glados is Chell's Mother: Ok, this isn't technically true. But there is a lot of evidence that Caroline was Chell's mother and Caroline did/does make up a significant portion of Glados personality. Its clear from the ending sequence that Caroline was a part of Glados (before she was deleted.) We know that Chell was the daughter of a Aperture science employee because you can see her name on one of the "Potato Battery" science projects. And if you translate the final opera from Italian it says "Dear, beautiful, my dear, beautiful little girl, oh Chell". A caveat is that Chell may be Caroline (and Cave's?) adopted daughter.
Glados is Chell's Lover: Ok, not technically true either, but a lot of the right aspects are there. I think the key is that they set up "testing" as kind of a sexual drive for Glados. Think about Wheatly's reactions the first couple of times you complete the tests in the third act. Glados claims you build up a tolerance to that (just like real life!) but the fact remains she needs to test you to find relief and release. This need drives a lot of her passive aggressive behavior throughout the game, as well as her selfishness and her possessive behavior towards Chell. I also think the ending is telling. She doesn't kill you and you don't kill her, because either of those things would be a continuation of your "relationship". Instead she breaks up with you. Your relationship ends and you go your separate ways.
Edit:
Glados is Chells' Enemy: This is certainly true, but it adds a nice wrinkle. Glados hates humans and Chell in particular. Her behavior is antagonistic and murderous. But the COOP story shows that she also needs humans to fulfill her function. This just makes the other two aspects of your relationship even spicier .
Glados is Chell's Mother: Ok, this isn't technically true. But there is a lot of evidence that Caroline was Chell's mother and Caroline did/does make up a significant portion of Glados personality. Its clear from the ending sequence that Caroline was a part of Glados (before she was deleted.) We know that Chell was the daughter of a Aperture science employee because you can see her name on one of the "Potato Battery" science projects. And if you translate the final opera from Italian it says "Dear, beautiful, my dear, beautiful little girl, oh Chell". A caveat is that Chell may be Caroline (and Cave's?) adopted daughter.
Glados is Chell's Lover: Ok, not technically true either, but a lot of the right aspects are there. I think the key is that they set up "testing" as kind of a sexual drive for Glados. Think about Wheatly's reactions the first couple of times you complete the tests in the third act. Glados claims you build up a tolerance to that (just like real life!) but the fact remains she needs to test you to find relief and release. This need drives a lot of her passive aggressive behavior throughout the game, as well as her selfishness and her possessive behavior towards Chell. I also think the ending is telling. She doesn't kill you and you don't kill her, because either of those things would be a continuation of your "relationship". Instead she breaks up with you. Your relationship ends and you go your separate ways.
Edit:
Glados is Chells' Enemy: This is certainly true, but it adds a nice wrinkle. Glados hates humans and Chell in particular. Her behavior is antagonistic and murderous. But the COOP story shows that she also needs humans to fulfill her function. This just makes the other two aspects of your relationship even spicier .