Nope, the storm surge is mostly due to the strong winds piling up water in and near the eyewall. The low pressure maybe adds 3 feet at MOST to the total surge. Also, as has been mentioned by others many times, the actual central pressure of the storm has nothing to do with the wind speeds. What matters is the pressure gradient between the surroundings of the storm and the center. The higher the "background" pressures, the stronger the winds in the eyewall will be for a given central pressure, all other things being equal.
So, DO NOT go by the central pressure alone to get wind speeds. This is why recon is so important.
Thanks for the info.