No. Apple Watches are region specific. A North American watch will not work with carriers outside North America.
Apple Watch - Carriers - Apple
Cellular service support.
To cover the LTE and UMTS bands used around the world, there are two separate cellular models for Apple Watch Series 6 and Apple Watch SE. They have been optimized for use in the country of purchase, and not all models work in all countries or regions. There is no single model that supports cellular service worldwide. To see which carriers in your country or region offer cellular service for Apple Watch, refer to the chart below.2
Buy the watch in country to intend to use it in to avoid any issues.