Are there definite dates for the Trojan War?

None at all. What was called the Trojan War was in all probability a coordinated series of piratical raids by people from the Greek mainland, targeted on all along the coast of Asia Minor, apparently in the 12th Century BCE. Our tenuous records of episodes of it were first written down in the epics in the 8th Century BCE and later. They were based on the poetic performances delivered by bards throughout the previous centuries. And they encompass material drawn from the 14th to 8th Centuries BCE. From the Iliad, there was an initial failed attack on Troy, the raiders dispersed to loot the coastal and island cities around to the south, and returned ten years later for another go at Troy.