Based on the 250w power supply (PSU) of the HP PC, the above nVidia GT 640 is basically the best graphics card you can buy without having to upgrade the PSU as well.
Overall it is a weak graphics card compared to more power hungry graphic cards out there. Whether it will provide enough performance to make Alice: The Madness Returns enjoyable to play is the issue. Games generally can auto detect the graphics card and then set the graphic quality and resolution to the appropriate settings to make the game playable. Manually tweaking those settings can improve or decrease gaming performance depending on what you are doing.
There is a caveat though. The auto detection is based on a database of graphic cards available around the time the game is released. Therefore, installing a graphics card that came out after the game was released could mean the games will not be able to use graphic and resolution settings appropriate for that graphics card.