Could I get this gpu to run on a 240w psu at all?

[Bobbysonators]

http://www.gigabyte.co.nz/products/product-page.aspx?pid=5144#ov
Please note i cannot upgrade the psu in my pc even if my life depended on it, it's 240 watts,

It also need to be low profile.

 

[Nuckles_56]

Why can't you upgrade the PSU? And yes, it should technically be able to run that GPU depending on what the rest of the system is