It is possible to induce a type of non-dual experience of the feeling of being by meditating on the feeling of "I am" (or possibly the feeling of bliss) while by asking oneself, "Who am I?"
SELF-INQUIRY by Sri Sadhu Om at selfdefinition.org:
Chapter 7 from The Path of Sri Ramana, Part One
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The nature of the mind is to attend always to things other than itself, that is, to know only second and third persons. If the mind in this way attends to a thing, it means that it is attending (attaching itself) to that thing.
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On the other hand, if our awareness is directed only towards ourself, our knowledge of existence alone is nourished, and since the mind is not attended to, it is deprived of its strength...
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The feeling ‘I am’ is the experience common to one and all. In this, ‘am’ is awareness. This awareness is not of anything external, it is the awareness of oneself. This is awareness.
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The pure existence-awareness, 'I am' is not a thought; this awareness is our nature.
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The awareness, 'I am' is not a thought; it is the very nature of our 'being'.
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... for those who ... attend thus, 'What is this feeling which shines as I am?' it is suitable to be fixed in Self-awareness in the form 'Who am I?'.
What is important to be sure of during practice is that our attention is turned only towards 'I', the first person singular feeling.
According to Ramana Maharshi, Brahman is sat-chit-ananda, being-consciousness-bliss. He says consciousness and bliss are not different from being. It would seem that meditating on bliss, with the understanding you are trying to understand sat-chit-ananda by asking "Who am I?" would be equivalent to meditating on being. It might be easier for some people to meditate on bliss rather than being because being is a very subtle feeling while bliss produced by meditation can be much easier to focus on.
From Be As You Are The Teachings of Sri Ramana Maharshi Edited by David Godman
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Q: Brahman is said to be sat-chit-ananda. What does that mean?
A: Yes. That is so. That which is, is only sat. That is called Brahman. The lustre of sat is chit and its nature is ananda. These are not different from sat. All the three together are known as sat- chit-ananda.
Q: As the Self is existence [sat] and consciousness [chit] what is the reason for describing it as different from the existent and the non-existent, the sentient and the insentient?
A: Although the Self is real, as it comprises everything, it does not give room for questions involving duality about its reality or unreality. Therefore it is said to be different from the real and the unreal. Similarly, even though it is consciousness, since there is nothing for it to know or to make itself known to, it is said to be different from the sentient and the insentient. Sat-chit-ananda is said to indicate that the supreme is not asat [different from being], not achit [different from consciousness] and not an anananda [different from happiness]. Because we are in the phenomenal world we speak of the Self as sat-chit-ananda.
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