No. nVidia lists the minimum system power requirement for a 650 Ti at 400w, and if I had to guess, the 300w power supply you're asking about was included with a prebuilt OEM system, which means it's probably of very low quality, and won't put out anything above what it's rated for. Sorry... looks like you'll be replacing it... consider buying an Antec Earthwatts or a similar high-quality unit.