In theory yes - and that's what's happening in many countries. E.g. in Germany there is a differentiation between high risk areas and virus variant areas, with

In theory yes - and that's what's happening in many countries. E.g. in Germany there is a differentiation between high risk areas and virus variant areas, with different testing and quarantine protocols etc. However on a global scale only some countries are sequencing some of the time, and only in humans (with ad-hoc exceptions)! Which is simply not enough.