In a word, no. This is because the minimum residual amount that must be paid in order for you to own the car at the end of the lease is set by the ATO. Paying extra during the term would bring the residual below the ATO’s minimum.
Likewise, you are not allowed to put any remaining funds in your novated lease account towards the residual at the end of the lease. You must pay the residual (including GST) with after-tax money.