コンストラクタで失敗してもインスタンスはある？

public class Main {

    public static Main me;

    public Main() throws Exception {
        this.me = this;
        throw new Exception("constructor error.");
    }

    public void method() {
        System.out.println("It's me");
    }

    public static Main main() {
        return me;
    }

    public static void main(String... args) {
        try {
            Main main = new Main();
        } catch (Exception e) {
            System.out.println("constructor failed.");
        }

        Main main = Main.main();
        main.method();
    }
}

結果

constructor failed.
It's me