According to the advisory programme, yes:
There are some issues you should take a look at before installing Windows 7.
System Requirements
Upgrade Backup system first You'll need to perform a custom installation of Windows 7 and then reinstall your programs. Make sure to back up your files before you begin. Go online to get important information about installing Windows 7.
Hard Drive Free Space 4.40 GB You need at least 16 GB of free space on your hard disk to install 32-bit Windows 7. You can make room by removing unwanted files from your hard disk, contact your PC manufacturer or retailer to see if a hard disk with more capacity is available for your PC, or install Windows 7 on another hard disk.
CPU speed 3.60 GHz Your CPU meets the 1 GHz minimum requirement.
RAM 1.00 GB Your system memory meets the 1 GB minimum requirement.
Windows Aero Capable Your system can run Windows Aero.
Devices
Sony MPEG RealTime encoder board
Sony Corporation Not compatible This device isn't compatible with Windows 7.
Realtek High Definition Audio
Realtek Compatible This device is compatible with Windows 7.
HDAUDIO SoftV92 Data Fax Modem with SmartCP
CXT Compatible This device is compatible with Windows 7.
RADEON X600/X550 Series
ATI Technologies Inc. Compatible This device is compatible with Windows 7.
NEC OHCI Compliant IEEE 1394 Host Controller
NEC Compatible This device is compatible with Windows 7.
Ricoh R/RL/RT/RC/5C475(II), R5C520 or Compatible CardBus Controller
RICOH Compatible This device is compatible with Windows 7.
Intel(R) PRO/1000 MT Network Connection
Intel Compatible This device is compatible with Windows 7.
Intel(R) 82801FB Ultra ATA Storage Controllers - 2651
Intel Compatible This device is compatible with Windows 7.
Intel(R) 82801FB/FBM USB Universal Host Controller - 2658
Intel Compatible This device is compatible with Windows 7.
Intel(R) 82801FB/FBM USB Universal Host Controller - 2659
Intel Compatible This device is compatible with Windows 7.
Intel(R) 82801FB/FBM USB Universal Host Controller - 265A
Intel Compatible This device is compatible with Windows 7.
Intel(R) 82801FB/FBM USB Universal Host Controller - 265B
Intel Compatible This device is compatible with Windows 7.
Intel(R) 82801FB/FBM USB2 Enhanced Host Controller - 265C
Intel Compatible This device is compatible with Windows 7.
Intel(R) 82801FB/FBM Ultra ATA Storage Controllers - 266F
Intel Compatible This device is compatible with Windows 7.
Sony Memory Card Reader/Writer
Sony Corporation Compatible This device is compatible with Windows 7.
Programs
Sony Corporation Utilities
Sony Corporation Minor issues You might experience minor issues using this program while running Windows 7. For more information, go online to the manufacturer's website.
Visit the publisher's website.
Thought this might be some help to someone, but it's interesting that a 5 year old VAIO has still got the goods!
