Personal 401k CatchUp Contributions and New / Catch-up IRA

If your self-employed company didn't make any earned income, can one make a catch-up contribution into a previously established personal 401-K? If I have a 401k that the company contributes to, but I didn't contribute anything to, can I make an IRA contribution of $2,000 plus a catch-up contribution of $6,500 (over 50 age)?