I was told a couple of years ago about an equivalent method that Chinese people use, also counting to five, but instead it uses the Chinese character 正 (zhèng - which means 'correct' or 'proper').
You can see the stroke order for this character here:
Or if you prefer the animated version:
So yes, that's how (at least some of) the Chinese do it. You can use it to count the number of days in a row you practise flashcards, how many times you phoned your mom this month, or anything else You want to count ...