Depends...
If you mean "any rational number less than 1," meaning you could use negative numbers like -3 and -4, then the answer is "no."
example: (-3)(-4) = 12.
As a general statement, the answer would be no.
If the context was that you were working only with positive numbers, then "less than 1" would imply "between 0 and 1" and the answer would be "yes".
