No. The IPO offering size reflects the base offering of shares only. This value appears prominently at the top of the official Prospectus filed with the SEC.
The standard rule for determining the size of an underwriter option allotment is to take 15% of the base offering shares. As this is an option (typically with a 30 day expiration to be exercised), we do not include these shares in our data. There is no guarantee that this extra amount will be offered or not.