No, not possible. Ottoman Empire have to subjugate the sultan of Oman who controled most of African east coast. Then they would be fighting first the Portuguese then the Dutch.
Secondly as discussed in previous threads the Ottoman Empire would of required to develop ocean going ships to match the Portuguese/Dutch supperior ships. Their ships were fine for Mediterranean or the Red Sea but not a match for open waters of Indian Ocean.
The Ottoman Empire also only had so much resources be they men and $ sO devoting them to this enterprise would of resulted loses in other fronts.
So have someone overcome all these issues without a magic wand then you have a possibility and it would need to be a POD earlier.