No. Eligibility for the earned income tax credit is based on income, not age. The amount of the credit varies with the number of qualifying children you have. A modest credit applies even if you have no such child; the credit amount (and the income limits for eligibility) scales up for one child, two, children, or three or more children.
A trust created during the lifetime of the person who created the trust. If irrevocable, income on the trust principal is generally shifted to the trust beneficiaries.