No. It will not. Plus, it's probably a low quality unit on top of being low capacity, which makes the problem even worse. The minimum capacity power supply you would want to use for that configuration would be something in the neighborhood of 350w, and 450w would be a lot better especially if you have any plans at all to overclock the GPU card. Even so, those numbers reflect the use of a high quality power supply, not a mediocre, generic or worthless gabillion watt dumpster fire model.
Are you in need of a PSU recommendation, and if so, what kind of budget can you put together for a power supply? If you are planning to buy the entire system, what is your full budget for all needed components?
If you already have these components, you...