This is one of those gray areas that may or may not work. It involves removing the failed hard drive from the laptop and freezing it. Sometimes
the drive can be brought back to life for a very short period of time. Usually less than 30 minutes. Since this is a laptop drive you'd need a USB enclosure
to house it so it can be connected to a working computer. If the failed drive is recognized you may be able to transfer the data to the working computer's hard drive. But again, with such a limited working time frame, you may be looking at days or weeks of freezing > installing in the enclosure > connecting to the working computer > transferring data. Failed Hard Drive Data Recovery by Freezing the Drive
There's another utility called SpinRite. I think it costs $95 now. I've used this to recover data from a failed hard drive that was running XP Pro. Took almost a week running 24/7 but it worked. SpinRite does not have any caps on how much data can be recovered. Many of the free recovery programs will only allow a couple of gigabytes before you have to buy their pro version. So it kinda depends on how much your data is worth to you. Professional recovery shops usually charge many hundreds of dollars (some more than $1,000.) The thing with SpinRite is they have a simple guarantee. If it doesn't work you get your money back. GRC*|*Hard drive data recovery software**
Disclaimer: I have no financial or commercial interest in SpinRite. It is offered for informational purposes only.