Nothing wrong with doing so, though with $2000 you have limited options if you are wanting to do full-fledged individual stock buying (not that this is really advisable starting out anyway). Research shows you want a basket of 25-30 stocks to be diversified.
So, it is more efficient starting out to buy an index, which you could get into for the price of 1 trade, or even $0 for certain ETFs and index funds that are partnered with Fidelity. Instant diversity and low cost.
The problem with both being diversified and buying individual stocks is that the price of transaction costs is a huge burden to overcome with a smaller portfolio. Say you get $7 trades and go on the low end of 25 stocks for your portfolio. Ok, you're diversified. That's good, but that is $175 just to get started. That is 8.75% of your portfolio you are starting behind. It's a scalability issue.
Now...if you just want to throw caution to the wind and ride on a few stocks, you can, but that is not advisable either. If one company goes kaboom, well there goes 50% or 25% etc of your portfolio.
Hope this helps.