No, There is a stark difference, Hadith is a massive body of works, while sunnah is self-evident specific information that has been transferred through both hadith but also through Islamic practices. Like prayer methods (all of them, Sunni, Shia, ahl-hadith) many more practice, such as Hajj, Umra. In short, all the information about the 5 pillars of Islam is practical knowledge preserved throughout generations by Muslims, just like the Quran by Hufaaz as we know that Hufaaz are an unbroken chain of recitations from the time of Muhammad pbuh. This is called the living memory. now you can see that there is a living version of Islamic canon, and then there is a book version. because Quran is the same in both book and recited version, it is not controversial, we can also say that a living version of the sayings/doings of the Prophet is also there which is reinforced by an agreed-upon (tawatur) by hadith books. On the other hand, Hadith is a general body of knowledge of Muslims of that time, major among it is the interactions of Muslims with the prophet pbuh but later on many other aspects of Muslim life after the departure of the Prophet PBUH are also part of Hadith. Including all versions/repetition etc, Hadith is more than half a million. around 700k. while hadith that can be said to be 100% authentic are a few hundred.
