Does Apple Watch 8 series gps cellular as esim?

Find a supplier who offers eSIM on Watches.

Apple Watch - Carriers - Apple

As there seems not to be one you may just have to turn off cellular and use it as gps only in Jamaica, but ask around locally

Watches purchased as gps+ Cellular have eSIM hardware, yes.

Look at the small print on the back of the Watch for the word Cellular and the red ring on the crown