I imagine lying on a federal form is going to be a risky move, especially when going to a spy agency that’s going to do background checks. I’d recommend being honest if you’re interested in this line of work.
They can't know.
Also I would argue people in the NSA are less honest then normal despite the background checks.
Never, ever lie or knowingly omit information on a security clearance form. If you tell the truth and you are disqualified, it’s extremely unlikely that information will be used against you. The FBI isn’t going to come after you for doing mushrooms. If you lie to the federal government while trying to obtain a security clearance, they will put you in federal prison.