Here are four possibilities:a)
the properties of a cheerio are infiniteb)
the human capacity to analyze a cheerio is infinitec)
both are infinited)
neither is infinite
Answer "a" is a theoretical physics question. Answer "b" is clearly incorrect, because people die. Therefore "a" and "d" enter the runoff. If the cheerio has infinite levels of physical interaction or exists in an infinite number of alternate realities/dimensions, it could be said to have infinite qualities.
But, if we take the wording of your question literally (namely, its emphasis on "learning"), then the answer is no
. Humans have a limited capacity for learning. Even if the cheerio has infinite properties, a human could never learn them all. Otherwise, we would get bored.See question on Quora