You can learn a lot about someone during a long distance but there are still many things that you will only ever find out about someone by actually spending some time with them.
Meeting someone and then deciding to get married after a few days is one thing, but this is very different to a couple arranging a wedding before they have even met each other.
I'd be very sceptical about this scenario, especially if the girl is reluctant to agree to an earlier meeting when it is suggested.
It might work out great for them, but I fear something else is going on here.