i would say not for most native speakers.
I didn't mean to suggest that I found "am getting more and more amazed" resoundingly beyond dispute, only that it sounds much better than "am getting amazed" by itself, at least in a suitable context, such as fireworks exhibitions, which are designed to amaze, and which, when well funded, tend to become ever more spectacular as the exhibitions progress.
I think that the problem with "am getting amazed" (in the copulative, not the progressive passive, sense) is that it focuses on the transition into the state of amazement, whereas, experientially, there is no such transitional period. Amazement simply happens, like surprise and delight.
Excitement, on the other hand, can indeed be transitioned into, from a mere flutter of the nerves to "Holy cow!" levels. We also experience such transitions with worry, tiredness, boredom, etc., each of which phenomena has its related past-participial adjective that can be used as a subject complement following copulative
get in the progressive.
?? We are getting really amazed.
?? We are getting really surprised.
?? We are getting really delighted.
We are getting really excited.
We are getting really worried.
We are getting really tired.