It depends on whether you are married and which country you would be moving to.
You are married or registered partners
Moving abroad will not change anything for the application for naturalisation. This only does not apply when you move to the country of your partner's nationality. You cannot become a Dutch citizen when living in the country of which you have the nationality.
You are unmarried partners
A move abroad does have implications for the application for naturalisation. This is because as unmarried partners you must live together in the Netherlands for the entire naturalisation process.