I can't see which HP you have but a quick look finds "spec wise" the answer is no.
Why the 740? It's not on any list that I use.
Is the EVGA GeForce GT 740 4 GB compatible with my PC? I have a HP compaq Windows 7 SP1 Intel Core 2 Duo CPU E4600 @ 2.40 GHz 2.40 GHz. My main concern is if my power supply will meet the power requirements of the graphics cards. I already have a old Nvidia Geforce 9500 GT installed in my pci express slot and it runs fine so I'm not sure. Heading to the store soon so any feedback would be greatly appreciated, thanks!