Were the Old Prussians Slavic peoples that were Germanized by the Teutonic knights or were they Germanic peoples to begin with?
The original inhabitants of Prussia were not Slavic to begin with, but rather Baltic people - somewhat related to Lithuanians and the neighboring Yotvingians who lived in what is modern day North-Eastern Poland, Northern Belarus and South-Western Lithuania. Old Prussia had also suffered numerous viking raids and, as in most Baltic countries, some viking settlement took place.
As for the German old Prussians, they were a mix of a large amount of settlers from all over Germany, as well as some settlers from the Netherlands. However, the local Prussians were not driven out nor were they all killed, although I am not sure as to the extent of Germanisation of the locals.
To a lesser extent, Prussia also took in some waves of Polish (predominantly Mazovian) and Lithuanian settlers, who would blend in with the rest of the society.