Elrond did not try to "stop their love, theor [sic] relationship". This is a movie image that does not apply like that to the Books.
Elrond was prophecising when he said that Aragorn would not have a wife yet, and it is clear that Elrond's foresight was correct.
If anything, that fact could only support the theory that Arwen's name was given in foresight to her future. However, it is also to be noted that with a high probability, that, judging from the respective texts we know dealing with Elven nomenclature, Arwen was a mother-name and not given by Elrond anyway.
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