Not on its own, no. During an outage, your system will automatically turn off to protect utility workers that may be working on power lines. This means that the solar system will not provide power to your home during an outage. It will turn on automatically when the utility restores power to the grid.
Adding a battery to your system will allow your system to remain on during an outage. Renogy X offers a full suite of energy solutions including battery, which can power your entire home in the event of an outage.