it might depend what sort of 1-1-1 they're going into. If they are gambling on you NOT 4gating and don't scout you to that effect and don't have a bunker down or enough marines to defend, sure. In lower leagues it might just be which of you is faster. Generally 1-1-1 is a safe build against cheeses and I would consider turning around if you spot bunker(s) and/or tanks waiting on the other side of a wall in.
You see a bunker in 90% of 1/1/1s (every good one that is). Normally just 1 bunker, but that bunker is the catchall defense that Terran needs while they're teching, they're not going to skimp on it. If for some reason they don't make that bunker you should by all means go kill them but that very rarely ever happens (some guy tried it on Tal'darim...and died very easily)
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