No, it's not. The reference is of the Israelites as a people living in Canaan, not Israel as a country.
And it was not carbon dated.
Further, the Kingdom of Israel ended in 722 BC, those people disappeared in the sands of time. Completely.
Judea ended in 70 AD.
The land of the Philistines was mentioned at least as far back as 1200 AD, making them in the very least contemporaries.
Palestine, as designated by the Romans nearly 2,000 years ago, has existed for far more years than either Judah or Israel.