Yes, you can bind a combat style to pretty much any key you want.
When you begin the game, keys 1-10 are already set to activate the things you have on your quickbar (top left corner), so you simply need to drag combat styles to slot 2 and 3 (to use the example you mentioned).
If you press shift+2 you can place another 10 abilities here (qbar2). You have 10 qbars you can switch between, but keep in mind that keys 1-10 will activate the quickbar that is currently visible.
Two useful commands you will use a lot are /face and /stick
Type the following to put such a command on your quickbar: /macro face /face
Say you want to bind the /face command to your "f" key, first you need to make the macro above and place it somewhere on your quickbar. Let's say you put it in the first slot on qbar2. To bind this particular slot to the "f" key type: /qbind 2 1 <press the "f" key>
(Later on) You can also activate two additional qbars in the options menu. These work the same way as the first one, except you need to press ctrl+1-10 or alt+1-10 to activate abilities.
Lastly, I recommend to switch the following ability off: /cancelstyle (just type the command once). It toggles if you want to cancel a combat style when you click it twice, but there is not much use for that especially for a new player.
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[Hib] Druid - Blademaster - Bard - Mentalist