No. It's slang. Check out https://www.urbandictionary.com/define.php?term=tripping for more information.
Said in another way: "Why are you acting so crazy? or why are you freaking out?"
If used literally, however, it would mean 'why do you keep stumbling or falling when you're walking?' but I don't believe this is the case here.
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The phrase "tripping (or stumbling) over your words" means not being able to express your idea clearly. A person might "trip over his words" when nervous or tense.