Most rocks with bent patterns on them are metamorphic, meaning they transformed into their present state under high heat and pressure. Under those conditions, I don't see why rocks couldn't bend.
If there had been a Great Flood which warped the rocks somehow, they would be sedimentary rocks, the type in which fossils can be found. These can also have layers and stripes, but they are generally flat and not bent.
Also, if the rocks solidified just after the Flood, and bent as they were hardening, similar processes would form rocks today. We still have floods from time to time nowadays, they just aren't as big as the Biblical one, and they don't form rocks like whoever you talked to described.
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