Multiwfn doesn't directly provide a way of predicting pKa, but many quantities that can be calculated by Multiwfn have direct relationship with pKa. For example, atomic charge of the hydrogen, electrostatic potential at the nuclear position of the hydrogen (without contribution from this proton) and so on. My collaborators have published an article Journal of Computational Chemistry 2018, 39, 117–129 to discuss relationship between pKa and a batch of molecular descriptors (many of them can be easily calculated by Multiwfn).
In fact I don't exactly understand what is the central problem in your question. If the functionalized carbon nanotube have multiple sites that can occur deprotonation, you can calculate respective pKa for each site in usual way.
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