The answer is no.
Let’s show how:
=> 32 is the product, now we need to find a negative item to be used as based and exponent
=> -5 ^ 3 = -125 (not the answer)
=> -4 ^ 3 = -64 (not the number)
=> -3 ^ 3 = -27 (not the answer)
=> -2 ^ 5 = -32 (the answer is 32 but this is not a positive number but a negative one , thus the answer is still NO.)