Can a debt be collect if the statute of limitations has run out?

Probably no. Each state has it's own debt collection statutes of limitations.

Passing the collection date does not mean you are not owing, and your credit

score will reflect that you defaulted. If you owe fines, child support, etc. that

won't help get out of those.

Refuse to be contacted further even if your debt is "uncollectible", and do not

pay anything back or arrange for making payments which they will try coaxing

you into doing, using threats to bring legal action to scare you. As long as

you are beyond the expiration date you have nothing to worry about, except

keeping them off your phone and sending threatening looking, or disguised

past-due debt notices. Notify your state to be on its "no calls" list.