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I guess so but they are really maintenance free stones if you simply wipe them down & put them away damp.
If you're keen to use oil for other reasons, well then, the maker says it's ok.

The cracking comes from excessive wetting & /or fast drying as in air-con or placing on a sunny shelf etc.
I had a set from 220 to 12k & only the 12 k crazed slightly due to being left in the sun to...

Problem with the HNK stones is that detergent is a definite no, as per the included instructions so if you use oil on one it stays an oil stone or risk dissolving the binder.

Shapton JP FAQ :...