Helium is an inert gas that does not react with other substances to form compounds. Would it be correct to say that helium has no chemical properties?

Yes, it does not have chemical properties.

Explanation:

Helium, as an inert element, cannot rearrange its electrons to form another chemical substances with another element, like a combustion or an acidification, even though it can form nuclear reactions, these are not considered chemical reactions, because it does not involve a rearrangement of the electrons but changes the nucleus of the element giving another elements.