Technically, Yes. Using the AMD Legacy Drivers for Windows 10.
In reality however., I've not actually had much luck with the AMD Legacy Drivers with either my HD 4870 or HD 6750.
Now, from what I can tell the Mobility Radeon are better supported than the Discreet., but realistically you're better off sticking with Windows 8.1 which is still capable of running a lot of Windows Store / Windows 10 Applications.
Aside from that... I'd recommend a new Laptop.