Are Portuguese and Dutch the same language?

No. Portuguese is a member of the Romance family of languages. For its origins trace back to the ancient interactions between the Latin language of the ancient Roman conquerors and the ancient languages of present-day France, Italy, Portugal, Romania, and Spain. In the case of Portuguese, that interaction took place on the Iberian Peninsula. And so Portuguese is related to Spanish, but even more so to the Galician language of northwestern Spain. In fact, Portuguese is a member of the Galician-Portuguese linguistic group within the Romance family of languages. Dutch is a member of the Germanic family of languages. And so it's related to German.
No. Portuguese is a member of the Romance family of languages. For its origins trace back to the ancient interactions between the Latin language of the ancient Roman conquerors and the ancient languages of present-day France, Italy, Portugal, Romania, and Spain. In the case of Portuguese, that interaction took place on the Iberian Peninsula. And so Portuguese is related to Spanish, but even more so to the Galician language of northwestern Spain. In fact, Portuguese is a member of the Galician-Portuguese linguistic group within the Romance family of languages. Dutch is a member of the Germanic family of languages. And so it's related to German.