the time traveler's wife-- a burning question

could i have fallen more in love with two characters...? could i have been more intriqued by the idea of time travel and its implications?  no, i was absolutely wowed and am still thinking about clare and henry, even though i finished the book a couple of weeks ago.  and, so, this is my burning question...

henry traveled back into the past to clare as a child because he was married to her in the future, but, i ask you, would they have been married had he not traveled back and known her as a child...?