Assuming you mean straightforward buying shares and selling them at a higher price -
Modest money? - Yes.
Significant money? - Only in exceptional circumstances, through finding and buying stocks that are subject to significant price rises for specific reasons. But this might possibly only work for your selections in a general bull market during which the whole market rises.
Huge money? - No.
You could make more significant money if you trade using a market access such as spreadbetting, CFD's or options which allow you to go short as well as buying assets. This means you can make money during bear markets as well as bull markets, so whichever way price rises, you have the opportunity to make a profit.