Yes and No.  I've seen posts on the net of users still getting the free upgrade and I've seen others that couldn't.

If you want to try it, first make a full disc image (backup) all partitions of the hard drive to separate drive in case Microsoft does not allow the upgrade.  The free Macrium Reflect is a popular image program.

Also be aware Dell does not support Win 10 on this model (No drivers) and some old hardware is not supported by Win 10 (a lot of times the old sound card is one).  

thx a lot for your answer

I will try to update it after backup 

thx for now 

Windows 7 home COA key will allow you to activate Windows 10 Home after fresh clean install.  Note that 7 home key would not help you activate Win10 Pro.

Upgrade no

Clean install Yes.

Cost of disk $12

Windows 7 Starter
Windows 7 Home Basic
Windows 7 Home Premium
use home FOR INSTALL Version

Windows 7 Professional
Windows 7 Ultimate
use pro For install version

There are no windows 10 drivers. HOWEVER the windows 7 drivers work fine. Most of the hardware is already on the disk.  The Legacy Audio and video drivers are not. Nor are any card readers etc. Networking is easy using a USB WIFI adapter that is Plug and play.

https://www.amazon.com/600Mbps-Bluetooth-Wireless-Computer-10-6-10-15-3/dp/B085TDFQX1

https://www.dell.com/support/home/en-us/product-support/product/inspiron-560/drivers

https://www.newegg.com/microsoft-windows-10-pro-64-bit-reinstall-recovery-disc-only-no-license-key-included/p/N82E16832350238

the disk for home or pro are one and the same disk

You install using the "I don't have a key option"

it will then ask what version of windows to install choose home if you have home coa choose pro if you have pro coa.

Once online you activate by using the WIN7 home OEM KEY.

Not supported does not mean not working.