Yes, most continuous PT structures induce secondary (hyperstatic) reactions due the prestressing and the fact that the structure is indeterminate.
The magnitude of the secondary moments and the reactions due to prestress depend on the profiles of the prestressing tendons.
If no reactions and hence so secondary moments nor secondary shears are induced, then the tendon profile is called "concordant". Old bridge designers of yesteryear used to design PT bridges with concordant tendons.
Today secondary actions are designed with a load factor of 1.0 in limit state strength design, and the effects must be taken into account.
You can argue that if your continuous PT beam is ductile, at the strength limit state that there will be a lot of moment redistribution/cracking and the secondary actions will be reduced.
