Can The Board Schedule a Yearly aprtment unit inspection?

The cooperative manual does not have a provision for an annual unit inspection of the whole 60 units of the building.
The board would like to enact a resolution to have a yearly unit inspection. Is this against any existing law?

If you have a legal question, talk to your association attorney.

You should also check your documents to verify whatever you want to inspect is the responsibility of the association. It's one thing to inspect parts of the common area that aren't in the unit, such as roofing, but I don't see going into every unit (usually the interior is homeowner responsibility).

If you're concerned that homeowner abuse or neglect of something in their unit may result in the common area being harmed (e.g. failure to fix a leak in the toilet leads to flooding in adjoining units), you might want to talk to the association's master insurance carrier about the best ways to address that, especially since too many claims could result in higher premiums or getting dropped altogether, and then prepare a resolution to that effect.

Finally, a formal policy on when the association may need to enter a unit (e.g. immediate threat to health and/or safety) would be helpful - work with your insurance carrier and attorney on setting it up and then educate the homeowners accordingly