Can an auto repair shop charge if they were not able to find what's wrong with our car?

Question Details: Our van could not start.we had it towed to a garage to get it diagnosed and fixed. The garage guy said he'd only give us the cost estimate when he looked to see what was broken. Now, he says that after extensive checking, he cannot find the fault so he cannot fix the van, hwoever he is going charge us a lot of money because he "checked". Can he do that, especilly sine the van is still broken? He did not give us a quote until now.

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