Theoretically yes, but practically it will run into legal, political or other problems due to interests of each country on their natural as well as technical resources.
In India we have an official Ayurvedic pharmacopoeia of India (2 parts) and Indian Pharmacopoeia 2014 (7th edition).
when we want to consider one plants as a medicinal plants, we have some different criteria( pharmocopeia) and this is caused some difficulties in international cooperation.