The meaning of “missed the lights”, when talking about shooting an animal

Perhaps embody is an alternative in this situation.

Yes, the sentence There was a binge yesterday is both grammatically correct and clumsy and I'd venture so far as to say that few native speakers (certainly BrE speakers) would put things that way.

OED gives the definition of the noun binge as

slang (originally dialect: see Eng. Dial. Dict.).
A heavy drinking-bout; hence, a spree.

and it defines the verb binge as you'd expect, to indulge in such an event.

so while @alphabet's comment that binge doesn't always refer to an alcohol-soaked spree it usually does, and without qualification (as in eg a coke and methamphetamine binge) one would usually interpret it to be so, alcohol-soaked that is.

It would be more natural to say something like I was on a binge last night or My flatmates went out on a binge for the weekend, I stayed in and studied the scriptures.

The expression There was a binge last night is the kind of thing a university student might say to his mother (other sexes of student are available, as are other parents) when she visits one morning to find the shared accommodation in total disarray and when the student wishes to leave open the slim possibility that mother's darling son was not at the very heart of goings-on.