Sort of. It depends.
Yes, you can claim Section 179. However, whether or not you can use the loss in the current year or if the Section 179 is carried to next year depends on the circumstances.
If the business is a Partnership or Corporation, you can not use a loss with Section 179. If you claim Section 179, it will be carried to the next year.
If the business is a Sole Proprietorship (Schedule C or Schedule F on your personal tax return), claiming Section 179 will be allowed IF there is other 'earned income' on the tax return (such as W-2 wages). If there is not enough 'earned income' for the Section 179 to offset, it will be carried to the next year.