Multiple Interval cron issue with order of execution

55,0 5,6 * * * myScript

This cron task will execute on 5:00AM, 5:55AM, 6:00AM and 6:55AM.

Is there any possibility to make it run only in the order specified
such as 5:55AM and 6:00AM (basically only on the 2 intervals) ?

I doubt whether we can restrict that way in crontab... However, you can always put a check inside your script like this

test $(date +%H:%M) == "05:00" || test $(date +%H:%M) == "06:55" && exit 0

--ahamed