The answer is yes, with some restrictions.
The Veteran homebuyer has to live in/occupy one of the units as his/her principal residence.
The Veteran homebuyer cannot use the rental income he/she will acquire from the other units, to qualify for the VA loan.
The good news is that the VA Loan will finance 100% of the purchase price, even on 2, 3, or 4-unit property.
For more information on VA loans, check out the VA Homebuyer Webinar recording here . . .VA Homebuyer Webinar