No .. because one cannot apply "critical thinking" to the existence or non-existence of a Creator.
If that is the case, then belief is irrational by that very fact.
It involves a human element called conscience, which is not part of that rational process.
And this makes belief, by definition, irrational. it is not the result of a rational process.
Critical thinking is an "intellectually disciplined process of actively and skillfully conceptualizing, applying, analyzing, synthesizing, or evaluating information gathered from, or generated by, observation, experience, reflection, reasoning, or communication, as a guide to belief and action."
And how does that lead to the belief that a deity exists?
I have found that they are..
Study, and evaluation of texts.
What else is there?
Comparison of the texts with observation and tests of the ideas within. Study is useless if the texts are false. Evaluation is useless if the evaluation isn't based on observation and ideas that are testable.
We can have faith that God exists, but we might change our beliefs about Him.. we can employ critical thinking, as God does not expect us to believe irrational things .. that would make no sense .. to me, at least.
Sure, you can have faith. But that means that you give up on rationality and critical thinking. Faith, by its very nature, means that you believe in spite of the evidence available. And that is almost the definition of irrationality.
Well, these things are debated constantly by members on this site.
Some people feel that scripture is reliable evidence, and some don't.
It is not about "material evidence" for the existence of God .. it is about people's testimonies and how credible they are.
Personal testimonies are *always* less reliable than observations that can be performed multiple times and tested as to their properties.
Eye witnesses are known to be unreliable.
I take the existence of God "on Faith" .. I do not expect to meet God in some kind of physical manifestation.
I believe that Jesus and Muhammad are who they say they were.
I believe in the testimonies of those who witnessed miracles.
Ok, and you are free to believe whatever you like. But that does not make the belief rational or the result of critical thinking. it just means you choose to believe in spite of the quality of the evidence.
In my view, faith is a dereliction of the duty to think deeply and be skeptical of outlandish claims.