It is possible for such chain of events to occur but it is unlikely that it will produce a long lasting relationship, because at some point in time one of them may understand that they may have lost their connection, and two, they may have gotten tired of each other.
The only benefit to "love at first sight" relationship is nothing that excludes any other love relationship, for that matter. It may simply be a reason it gives to the person of why he wakes up each day in the morning. It is usually all it is of love: it doesn't give any privilege, not it takes any away.
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