Certainly not legitimately. The allergy to external code here is silly. But frankly I need to solve the problem, so that's not going to stop me if I can help it. But that's a question best answered by experimentation. The trick with sqlite is getting it installed in the right place.
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When you have a legitimate need, management is likely to listen; especially when you can put a cost to how much is attributed in manhours/salary to routinely solving similar "recursive" problems.
I would suggest you discuss having some sort of development area where you could tackle such a task. You have a lot of data, so you probably need a better db engine, but if they aren't willing to give you the tools you need, perhaps you could daisy chain a few JET (MS Access) databases, to have something a little more robust and scalable.
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