No.
No offense but you're using multiple terms that contradict each other.
First off, a fixed time line cannot have a paradox.
Let's say you go back in time and try to kill your father. You can't succeed in
a fixed time line, because you exist. Nothing can be changed.
Let's say you go back in time and succeed in killing your father. That is a
dynamic timeline and it creates a paradox because it would keep you from being born....which would stop you from going back in time and killing your father.
Let's say you go back in time and succeed in killing your father. Another outcome is that it creates
an alternate time line, so there is no paradox. In this version of time travel there is now two realities....one where you were born, and one where you never were.
Understand?
The reason this is 100% absolutely
not a fixed time line....is we seen Bran change something. Wylis only turns into Hodor
because of Bran.
Unless they show us another version of the past
without Bran's interference....where Wylis becomes Hodor
anyway....then it's impossible for this to be a fixed time line.
So as of right now, it's not a fixed time line. What it is exactly, I dunno. I need more info.
Fred.