Yes. You can unscrew the liquid and gas posts with a wrench (either a crescent, socket, spark plug socket) and "pop" or push the poppets out from the top with a screwdriver. Sometimes they will fall out naturally.
A word of caution: put the gas and liquid posts and poppets in separate bowls/cups and don't get them mixed up (read: don't do this task tipsy). Also, on the diagram, note how the gas posts usually have a notch at the bottom compared to the bottom of the liquid post. This is an easy way to determine where the beer will come from when you can't see the "in" and "out" markings and lost your reading glasses. Some folks put a different color O-ring on their gas and liquid posts, but that would be too easy...
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