Is the following sentence grammatically correct?
The feedback from the small amount of people in Africa that has been so lucky to receive a blanket is incredible.
I would want to change the word 'has' to 'have'.
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I agree with the answers above and would move "is incredible" closer to the subject of the feedback. Also, it may sound better to use who instead of that: The feedback is incredible from the few people in Africa who have been so lucky to receive a blanket.
Why use have instead of has? If the number of people or subjects is more than one, plural in other words, then use the plural form of the verb.