Property Tax deduction -- Can I apply property tax for 2 years in 1 tax year?

In my county we receive our property tax bill in June,  and it is due by 2/1 of the following year. (If you want to deduct it for that year you would probably need to pay by 12/31)
 
So I instead paid my 2019 tax, in 2020 (before 2/1), since I wasn't itemizing for 2019.


Since I paid my 2019 property tax in 2020 can I deduct it on Schedule A for my 2020 tax year even through it was property tax for 2019? If so, can I combine it with a property tax partial payment for 2020 so I can reach the 10,000 property tax cap?  For my that would mean pay about $2000 of the 2020 tax before 12/31/2020

I normally don't itemize but medical bills this year made itemizing a no brainer, so I am doing my best to maximize the situation.