EU yes. Essential travel is allowed. Again it’s difficult to speak for all EU countries as rules are different in each country and changing, but from my experience if you get a job offer you just move. Crossing borders by car is also much much easier than by plane. There are hardly any checks (where I cross). There are no problems at all in terms of moving inside the︀ EU in my experience. Maybe if you try to move without a job it could︁ be more difficult, cannot say anything in that case.