The best thing to do is to create a Zorin USB boot stick, boot from it, and then select "Try Zorin." Then you can see if everything works on your notebook and if the drivers are recognized. This does not give you 100% certainty that it will be the same after installation, but it will give you a rough idea.
The graphics drivers should work as they are included in the kernel but maybe the fingerprint won't work:
This is a page that is specially for hp fingerprint synaptics driver g6 and shows the experiences with this device in linux.
On page 2 your notebook is listed but failed on all mentioned linux distributions until kernel 6.12: