In short, no: the fact that subtraction is involved is suggested by the word "complement".
The usual procedure is to ignore any leading zeros, subtract the lowest-order non-zero digit from 10 and all the remaining digits from 9.
Addition and subtraction are computationally fast compared to other operations. As you can see in your example, one measly subtraction (that takes about a billionth of a second in a computer) and you're finished.