Possible? yes, probable? no.
It's also 'possible' to solve a block using just a pen and paper, and that is still possible regardless of the difficulty, but that's certainly not probable.
The time between blocks follows exponential distribution, you can run cdf exponential distribution on any online tool to determine the chances of the next block taking x period.
Let's check the percentage of blocks found in some random periods.
1 hour = 0.0024% 2 hours = 0.00000614421 4 hours = 3.775×10 −9 %
That is an extremely low number and almost guaranteed never to happen provided the hashrate stays constant or goes higher, now in the extreme cases where the network loses a massive portion of its hashrate then things change, the longest it took to mine a block was about 5 days if am not mistaken.
But if you want to hypothetically assume no block was found for say a month, well, then there is nothing to solve it, we would need to fork the network, and mess with the consensus to overcome the issue, assuming anyone would want to use Bitcoin after something like that happens.
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