Which Subway Exit - Split Compounds?

In the expansion sentence, “我跟他见过一次面,” I would not have thought to put so much between 见 and 面. I was thinking that见 面 was a compound word and therefore the characters would stay together. But here we have inserted both the past tense indication and the number of times between the two characters. Can this be done with all compound words? Is it just when the first character is a verb that they are split like this?