Can I rollover a 529 or Coverdell IRA (education savings) into a Rocket Dollar account?

No, an 529 account is earmarked for education dollars.

A 529 is a tax-advantaged savings account. The dollars are intended for education expenses, and typically can't be rolled over to an IRA. Someone in your family can use the dollars for any education expense, such as you or your spouse taking a part-time night class, or another child.

Does the same apply to Coverdell IRA's? (aka education IRAs)

Yes...if the Coverdell's IRA money is not used for education expenses, it must be distributed. Or you can roll it over to a family member for them to use on their education.