Sometimes. Income-restricted programs include student status restrictions, and a home generally cannot be entirely occupied by full-time students. If at least one adult household member is not a full-time student, the household may still be eligible—income limits and verification still apply.
Example:
Two roommates are both full-time students → not eligible under the “entirely occupied” student restriction.
One roommate is a full-time student and the other works full-time (not a full-time student) → may be eligible, depending on income and other program rules.