No.
The Windows serial number is Windows only and will not work on a Mac.
There is a platform swap process (swap a Win serial number to Mac and vice versa) but it only applies to current versions i.e. CS6
Order product | Platform, language swap
As an existing CS3 customer you can join the Adobe Cloud for a discounted price (first 12 months only). Cloud software can be used on both Win and/or Mac for no extra cost.