I don't know, though obviously the safe answer is "no". Unless your case is too small to house a standard power supply, a new power supply shouldn't cost that much. A quick search on newegg revealed 250-watt P4-compatible power supplies costing betwen $15 and $68.
If you're not a DIY computer type, a local computer shop would probably sell you a mid-range 250-watt power supply and install it for less than $100. That may sound a tad expensive, but if you like and know nVidia cards it's probably worth it for the peace of mind of not having to switch to ATI.
Video cards are definitely the area where my computer knowledge is weakest, but if you ever plan to play games I would recommend avoiding the ATI Radeon 7500 All In Wonder, at least on XP. It's fine for non-game applications, but it crashes a lot on anything that uses full screen / Direct X. It gets better with each driver update, and DirectX 9 really helped, but if I game two hours a day I still expect to crash and reboot 1 to 2 times a week on average.