Not likely. I've got the same problem with Premiere on two different machines. Both have 1 GHz processors (one Intel, the other AMD) and both have 512 mb RAM. I suspected it was a faulty installation until the same thing started happening on the second computer.
It will run for a while but it's almost always guaranteed to crash at some point while editing. I've gotten into the habit of saving my project every time I make the slightest change: Drag a clip to the timeline, save. Razor a clip, save. Drop an effect on a clip, save. Change the effect properties, save.
It's a nuisance, but it's the only thing I've found that works.