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If you are talking about 0.3mm layer height, then probably not. Usually slicer does not detect the hair properly, because the hair is only 0.2mm (in Z axis) thick. But it depends on the slicer you are using. Try and slice it and then look at g-code preview if there is any hair missing.
Otherwise you should print it with 0.2mm layer height.
Another option is to scale the lion for 150%. this way the hair thickness become 0.3mm.

If you are talking about 0.3mm nozzle, then I think it should print just fine. I am not sure, because I have not tried it. Just check the g-code preview before printing.