The very first time you try and skip a period may not be successful, and infact, most women are not ... Many women will have weeks of spotting before their body gets used to a skipped period.
Triphasic pills, like the one you are on, are not reccomended to skip periods with. Monophasic pills are reccomended, and they are much more effective for skipping a period.
You can try and skip a period, but it is likely it may not work, and you will have spotting for a few weeks.