Isn't that a bit like saying, "If you rule out science, doesn't that make magic just a big more plausible?" The answer, by the way, is still no, just with a side of "and why exactly would you rule that out anyway?"
Coincidence is just a way of simplifying the fact that when you look backwards there seems like a very specific set of circumstances that led to a very specific outcome without realizing that there were an infinite amount of possible outcomes if things worked out differently, and with each one of those infinite outcomes you'd say "isn't it amazing that it worked out like this?" Saying that you can solve that problem of an incredibly complicated system like a planet when surrounded by human interaction with God is an argument from ignorance. This does not mean that you're stupid to use it, that's not what an argument from ignorance means. It means that you're solving an unknown with the placement of another unknown.
Think about the coincidence thing like this. I flip a quarter 30 times and get this string:
HTHTTTHTTHTHHTHTTTTTHTHHTHHTHT
Now, the chances of getting that exact string is over one in a billion. Getting that exact string, when looked at going backwards, is utterly remarkable. That said, the chances of getting ANY string of 30 heads and tails is one in one.
Coincidences are only truly remarkable when we forget that the world ISN'T magical. There's not just one love out there for you, there are many people. That person that becomes the love of your life, that's thanks to an awful lot of time and effort that both of you put in, but it's possible that you could have found that same degree of love with someone else. You just didn't, and now that you have a history of shared experiences with that person the love you have for them is stronger than what you could get off of any random stranger. The coincidence is not truly remarkable, because you don't actually know what all of the possibilities were.