Originally posted by Herzog_Zwei:
If the person cannot see what is really there,
smell what is really there,
hear what sound or noise is produced,
taste the correct taste?
Then can such a person have buddha nature?

Such a person will hear the sound of no sound.
Your Awareness, hearing nature, Buddha Nature, regardless of whether there is sound or no sound, is ever-present and unmoving. It is present in all Waking, Dream and Deep Sleep states
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From The Shurangama Sutra:
The Buddha said to Ananda, “The Thus Come Ones of the ten directions cultivated by
means of all of the eighteen realms and obtained perfect, unsurpassed Bodhi. All of them were generally adequate. But you are at an inferior level and are not yet able to perfect comfortable wisdom among them. Therefore, I shall give you an explanation, so that you will be able to enter deeply into one door. Enter one without falseness, and the six sense organs will be simultaneously pure.”
Ananda said to the Buddha, “World Honored One, how do we oppose the flow, enter deeply into one door, and cause the six organs to simultaneously become pure?”
The Buddha told Ananda, “You have already obtained the fruition of a Shrotaapanna. You have already extinguished the view-delusions of living beings in the three realms, but you do not yet know that your organs have accumulated habits that are without beginning. It is through cultivation that one severs not simply these habits, but also their numerous subtleties as they pass through arisal, dwelling, change, and extinction.
“You should now contemplate the six organs further: are they one or six? If you say they are one, Ananda, why can’t the ears see? Why can’t the eyes hear? Why can’t the head walk? Why can’t the feet talk?
“If the six organs are definitely six, then as I now explain this subtle, wonderful dharma-door for you in this assembly, which of your six organs is receiving it?”
Ananda said, “I hear it with my ears.”
The Buddha said, “Your ears hear by themselves, what, then, does it have to do with your body and mouth? And yet you ask about the principles with your mouth, and your body displays veneration.
“Therefore, you should know that if they are not one, then they must be six. And if they are not six, they must be one. But you can’t say that your organs are basically one and six.
“Ananda, you should know that these organs are neither one nor six. It is from being upside-down and sinking into involvements throughout time without beginning that the theory of one and six has become established. As a Shrotaapanna, you have dissolved the six, but you still have not done away with the one.
“It is like emptiness fitting into differently shaped vessels. The emptiness is said to be whatever shape the vessel is. But if you get rid of the vessel and look at the emptiness, you will say it is one and the same.
“But how can that emptiness become alike and different at your convenience? Even less can it be one or not one. Therefore, you should understand that the six receptive functioning organs should be the same way.
“Seeing occurs because the two appearances of darkness and light, and their like, firmly adhere to quietude in what originally was wonderful perfection. The essence of seeing reflects form and combines with form to become an organ. In its pure state the organ of the eye is the four elements. And yet it takes the name ‘eye-organ’ and is shaped like a grape. Of the superficial sense-organs and the four defiling objects, this one races out after form.
“Hearing occurs because the two reverberations of movement and stillness, and their like, firmly adhere to quietude in what originally was wonderful perfection. The essence of hearing reflects sound and resounds with sound to become the organ of the ear. In its pure state, the organ of the ear is the four elements. It takes the name ‘ear organ’ and is shaped like a fresh, curled leaf. Of the superficial sense-organs and the four defiling objects, this one is loosed upon sound.