If there was/is anything beyond your ken you would not know about it, because by definition it is beyond your ken, your ability to cognize and assimilate.
Perhaps a better question is “where does my ken end? Am I aware of the step function change from within my ken to beyond my ken?”
Can you expand the boundaries of this ken? Yes.
Not so long ago someone asserted to me that the guardians of the race do not exist and by extension there is no spiritual hierarchy. He was always a bit of a gobshite prone to being adamant and making assertions beyond his ken.
There are a lot of people like him. If something is beyond their ken then it cannot, must not exit. They do not know where their ken ends yet are prone to soap box.
If you work in higher education as I once did, part of your job is to extend the ken of young people and from time to time to mess a little with their heads. An undergraduate level only goes so far, nuance and depth are found after a few more years. Most people who do an undergraduate degree forget the bulk of it in a few years.
I am married to a non-scientist and although she can manage well in the world, she lacks a physics understanding. This physics understanding has improved. When I say let gravitational potential help us shift this downstairs, she knows it means let it go, let it fall.
People by and large are unaware about their lack of understanding.
Say for example you are shit hot at maths and quantum optics, it does not mean that you have the faintest notion of the interpersonal dynamics of “Love Island” or the market at Electric Avenue in Brixton. Your ken of humanity might end at the door of the Physics department. Under certain circumstances your lack of ken could be dangerous for you. I had an ongoing banter with the weed dealers at the bus stop in Brixton. They asked me if I was a copper, because of my short hair, no. It was our little joke. They knew my face and I theirs. I was safe.
Unless you can turn off your internal dialogue at will, your ken does not extend to quiet mind, much less to the point before thought. You may be a smart cookie, but you have never known mental silence, it is beyond your ken.
Do you know where your ken ends?
When your ken ends do you have the humility to act accordingly?
Or in you self-diagnosed omniscience is the end of personal ken a notion which you cannot countenance, after all you are an omniscient being are you not?