No it's not actually possible to throw up your guts.
If you were able to throw up your guts you would actually probably throw up so bad that it killed you when your guts came out of your mouth.
Your guts are secured inside your body and made impossible to be thrown up.
Although you can sometimes feel like you're gonna throw up your guts it's not possible to actually throw up your guts.
Throwing up is awful but there's no need to worry about actually vomiting out your guts because it's not gonna happen because it's not possible.