Is it possible to use a 32-bit driver on 64-bit Windows 7?

Microsoft's answer to your question:

If I'm running a 64-bit version of Windows, do I need 64-bit drivers for my devices?

Yes. All hardware devices need 64-bit drivers to work on a 64-bit version of Windows. Drivers designed for 32-bit versions of Windows don't work on computers running 64-bit versions of Windows.

To learn how to check for drivers, see Update a driver for hardware that isn't working properly or go to the device manufacturer's website. You can also get information about drivers by going to the Windows 7 Upgrade Advisor webpage.

Article ID: MSW700010

Source: Windows 7 / 32-bit and 64-bit: Frequently Asked Questions

So you should install a 32-bit OS (virtual or real) to your machine.

You can try this as the other person has mentioned using Windows XP mode in Windows 7. This is just an example where the device is an old TV tuner, but same will apply for other devices. If you don't know what is XP mode or not sure how to install it here are more guide you might want to look into it.