A law to do what, exactly? Criminalize the omission of facts from a statement? Criminalize ignorance?
Who decides when a fact was omitted? Was the fact pertinent (note: there's a lot of wiggle room here)? How much investigation has to be done to uncover whether there was a lie by omission or actual ignorance?
What would the penalty be?
Thinking you can legislate your way out of this is hopeless idealism.