For each type of lease, it is different whether you can finance VAT. Here is some more explanation on this.
With Operational and Private Lease, it is not possible to finance the VAT. This is because the VAT is paid by the person who owns the car, and in the case of Operational and Private Lease, the leasing company owns the car.
With Financial Lease, however, it is possible to reclaim the VAT from the tax. You first pay the VAT yourself and then you can write off the amount on your company (if your company is liable for VAT). As a result, you therefore get the amount back! This also makes your monthly amount VAT-free because you have already paid this.