Unfortunately, no. Perpetual licenses are platform specific. Windows serials only work on Windows and vice versa.
http://www.adobe.com/products/eula/tools/captivate.html
2.1.5 Dual Boot Platform.
The Software is licensed for use on a specific operating system platform. Customer must purchase a separate license for use of the Software on each operating system platform. By way of example, if Customer desires to install the Software on both the Mac OS and Windows operating system platforms on a device that runs both of those platforms (i.e., a dual boot machine), then Customer must first obtain two separate licenses for the Software. This is true even if two versions of the Software, each designed for a different operating system platform, are delivered to Customer on the same media.
If you're running the current version, you can transfer the license permanently from Mac to PC:
http://helpx.adobe.com/x-productkb/policy-pricing/order-product-platfo rm-language-swap.html
