I find perspective is key when asking such questions.
So being clear on what you mean by "programmed reality" is critical.
The physical world as a Virtual Reality, was originally postulated by Brian Whitworth in his paper dated December 2007,
And his perspective dealt with the concept of information processing that created the various aspects of this virtual reality.
It is an intresting read, but his perspective is not broad enough in my opinion.
If I see this physical reality as limited by something greater, say programming, for lack of a good enough word,
and I want to know if I can access the programming from within in it, that concept defies logic does it not?
I keep thinking of the pop culture reference to Star Trek The Next Generation, where they introduced the concept of
a holodeck. There were two basic characters inside the holodeck when running. One was the holocharacter, who was
completely rooted in that reality, and the other was the humans, who were both in the holodeck but OF the real world.
To answer the original question, you first have to be sure which character you are.