Can the same patent be applied to the European Patent Office and European countries at the same time?

Of course. Patent right refers to the patent right enjoyed by the patentee for an invention, which is only valid within the legal jurisdiction. You can apply for a patent in two or more European countries at the same time. After being approved, your invention can be protected by law in all applicant countries such as European countries. Europe is located in the northwest of the old hemisphere, bordering the Arctic Ocean in the north and the Atlantic Ocean in the west.