Phrase Meaning – What Does ‘Cannot Wait for the Break’ Mean?

When for combines with a word like each, every, all, some followed by a noun, it acts as an iterator of the members of the specified subset of class [noun].

In respect to each member of the subset of the class...

For every success, the inventor had ten failures.

For each of the first five chapters in the book, write a short summary of the plot.

For every rabbit dispatched, an additional four heads of lettuce went to market.

For every pot there was a lid.

For many a student, this was the first time they had seen snow.

If a person or thing does something on someone that usually means that the first person or thing has failed to do something, or has disappointed the second person in an annoying way:

I couldn't get to work on time because my car broke down on me.

Joe tried to call me, he said, but his phone's battery died on him.

I had a date with Mary, but she cancelled on me.

Cambridge Dictionary gives the 'faulty thing, machine or gadget' meaning, but, at least in the UK, a person can be talked about in this way if they unexpectedly fail to do something expected or promised:

on preposition (FAULTY)

used to show who suffers when something does not operate as it should:

The phone suddenly went dead on me.
Their car broke down on them on the way home.

On (Cambridge Dictionary)