No. Drivers for Windows are for Windows. Ubuntu comes pre-loaded with almost all the drivers you will need. In some cases, there may not be drivers available for a particular piece of hardware. If you are using an Nvidia or ATI video card, you may need to install the proprietary drivers to get full utilization of the hardware, but the open source drivers that are already installed should work well enough to get you that far.
Most of the drivers will be installed and autocratically detected by Ubuntu, for some closed source drivers (like nvidia drivers) you can add them using the "Additional drivers" option after installing Ubuntu.
The only drivers you might need from windows (if not supported by Ubuntu will be for the wireless card (if you have one) in whitch you can use wrappers
other windows drivers can not be installed on Ubunut/Linux.