Sure, and in scenarios like that, perhaps the best thing to do is to flip a coin.
Instead of going to all the expense of flipping a coin, though, you could just take the person who seemed to get the most votes (after you've counted them all really hard to make sure you're within the margin of error). Just an arbitrary rule, no biggie.
I'm confused by your reply. The grandparent comment was saying "You should never flip a coin", the person you replied to said (roughly) "It's impossible to avoid all situations where you can't measure the winner, you have to either flip a coin or just take the person who happened to come out ahead in the vote count".
Your link to a place where they used a coin flip isn't disagreeing with him (nor really the grandparent, who wasn't claiming that you can't use a coinflip, but rather that you shouldn't use a coinflip).