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No. It would always be odd.
If an odd number is multiplied an even amount of times (as would result if this statement were true) the result would have to be even and this contradicts us having two evenly divisible odd numbers (one would be even).
A couple of examples:
21/7 = 3 (quotient is odd)
63/9 = 7 (quotient is odd)
And so it would be for all examples.
(If the quotient were even and we multiplied it by an odd number we could not reach an odd number and so this is self contradictory.)
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