This question is no doubt the most important question in the universe. If God exists and the Bible is true, then we are in trouble! If God does not exist and there is no purpose to life, nor is there life after death, then we are in trouble! So this appears to be the ultimate question with crucial consequences.

The answer is NO! Science cannot account for everything!
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There are a good number of things that cannot be scientifically proven but are all rational to accept.