The word "to" is never an adverb. In your sentence, "to" begins the prepositional phrase, "to a challenge." The entire prepositional phrase is an adverb, modifying the verb, "can rise."
For more information, study this site.
http://www.chompchomp.com/terms/preposition.htm
Is "to" in the following sentence a preposition or an adverb?
"The speaker in "We Never Know How High We Are" believes people can rise to a challenge."
In my opinion, I think it is an adverb. However, I am not entirely certain.
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