Mining: what is the lowest possible target? Could it be a block hash of all zeros?

Mining: what is the lowest possible target? Could it be a block hash of all zeros?

I had a basic question about Bitcoin mining. I understand that as the bitcoin difficulty adjustment becomes harder the hash output will require more 0s in the beginning of the hash. Is it theoretically possible that the Bitcoin difficulty adjustment would be so large that the hash output would just be all 0s? I know this is theoretical bit I'm just curious.

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