No. It takes more than one date to find out if both people share the same values, want the same things for a relationship/marriage, (naturally agree) on how to obtain those things, and last but not least have a (mutual) love, desire, and respect for one another. In order for him or her to be "the one" they must also see (you) as being "the one"! A first date is more about words as oppose to actions!
Most people bend over backwards to "impress" a new person they are attracted to. You ever notice that strangers don't have any "communication problems"? or during the "infatuation phase" no one is saying relationships require "work"? The reason why is because it takes (awhile) for people to reveal their "authentic selves".
You don't really know a person until you observe how they handle the daily ups and downs that come with life. Any conversations you might have on the first date are only in a "hypothetical" sense. The only real thing about a great first date is it makes you want to get to (know) the person better.
No one should start preparing to send out "save the date" notices after (one) date! One man's opinion! :-)