Short answer: No.
Long answer: probably not.
The main reason for moving the pagefile to a 2nd hard drive is to try and reduce the movement of th drive head. eg Say you have a disk 'C:' witch contains your system an program files, and second disk 'D:' which holds the pagefile. When your machine needs to use the pagefile it is almost always already performing some disk operations (on C:). Having the pagefile on D: means that the C: drive head does not have to move from it's current location to the pagefile location and then back again.
The only reason I can think of to put the pagefile on it's own partition when you have only one physical drive is to eliminate the possibility of pagefile fragmentation. But I would suggest that this would likely result in more distance for the head to move between partitions.
If you are intent on trying it out I would suggest a partition just large enough to hold the pagefile at the beginning of the disk, and a defrag program that moves the most used files (mainly system) to the beginning of the disk (eg MyDefrag).
I don't know what the level of your understanding about disk operation is, but if the above sounds confusing then I would suggest you try to read up a little more on the topic before attempting any changes.
If you don't already defragment your disk then this alone will likely make a noticeable improvement to your system operation.