Yes. A simple base recipe to think about is just this:
- Base malt, 90-95%: For the alcohol ;-)
- Crystal malt, 5-10%: Add a little sweetness and malty, caramelly characteristic, but not too much!
- Hops: Some nice American hops based off of your preferred beers
- Yeast: American ale yeast, for a cleaner finish characteristic of American IPAs
This is a very basic guideline that allows you to play a lot with flavors and composition, but is basically the common elements of a lot of American IPAs. If this is your second brew, you are probably doing an extract beer so I would say like 10 lbs of pale extract syrup (or equivalent amount of dry extract if you use that), steep in 1-2 lbs of Crystal 20-60, and then pick some good hops.
Hops are really the key for this. If you want a simple recipe I would use something like Chinook or Centennial for bittering and Cascade or Amarillo for aroma and taste. Your hop additions should be something like 2 oz. for 60 min, 2 oz. for 15 min, 2 oz. dry hopped. This will get you a lot of bitterness, flavor, and aroma. If you are feeling more creative, you can look through the American Hops section of this wikipedia article for ideas. Getting a bunch of variety is fun, but so are single hop beers where you can really analyze the qualities of a single hop variety.
Another great thing to do is look up clone recipes of your favorite IPAs and see what hops people generally put in them. You will start seeing a lot of hops in common throughout different clones of different beers you enjoy, and you can build your hop profile around that.
Here's a basic recipe on Beer Calculus to get you started. This recipe is simple and really easy to brew, but can produce some awesome beer. The real key is figuring out which hop characteristics you enjoy and choosing your hop profile based on that (and what your homebrew shop has in stock!). Good luck!