No. The conversion triggers taxable income (the full amount of what’s in the traditional IRA if no nondeductible contributions were ever made). But the mere fact that the original contributions were based on earned income does not make the conversion income into earned income.
A retirement plan that meets tax law tests and allows for tax deferment and tax-free accumulation of income until benefits are withdrawn. Pension, profit-sharing, stock bonus, employee stock ownership, and Keogh plans and IRAs may be qualified plans.