can codeine cause a false pregnancy test?

A friend of mine has had the brilliant idea of trying to trap her boyfriend by lying about being pregnant. He is smart and probably won't fall for it. I told her he is the kind who will not be satisfied with a picture of a positive test, or even a positive test, because it could belong to anybody. So he will likely ask her to get a test and he will want to be in the bathroom with her while she pees on the stick. 
So she said she heard that taking codeine will raise the htc level and will cause it to show positive on a hpt.
I've done a google search about it but couldn't find anything.
Do you guys think there's any truth to this? Any experiences with false positives after taking codeine?

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