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 husband and wife who are required to live apart from each other by the terms of a decree of separate maintenance. Payments under the decree are deductible by the payor and taxable to the payee as alimony.