Is it possible for LSU to win a football game 1-0?

never mind, I confused myself

Answer is no

Both

Its impossible to score 1 point without scoring a TD

you can run back a blocked extra point for 1

I believe so, unless you can get a 1 point safety after giving up a TD, which I guess would require the team attempting the PAT to somehow wind up with the ball in their own endzone

Bingo.

There's such thing as a 1 point safety?

This is correct. 1 point safety on an extra point attempt.

Yep, I've only seen it on a blocked PAT where the defense tries to return it and then goes back into their own endzone and tackled there. Its a 1 point safety. It happened in a bowl game a few years ago.

I'm wondering if somehow the kicking team went all the way back to their own endzone and got tackled there if the rule would still apply

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I'm wondering if somehow the kicking team went all the way back to their own endzone and got tackled there if the rule would still apply

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Yes, it does.

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I'm wondering if somehow the kicking team went all the way back to their own endzone and got tackled there if the rule would still apply

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Blocking team returns it almost all the way back, kicking team strips it, tries to return it and in the process goes into their own end zone and is tackled? I don't see why not. If I were the ref in that situation I'd probably just walk off the field