在Java中，可以通过throw关键字捕获异常并重新抛出它，但可以重新抛出非异常类型的异常。以下是一个示例代码：

public class Main {
    public static void main(String[] args) {
        try {
            method1();
        } catch (CustomException e) {
            System.out.println("Caught CustomException: " + e.getMessage());
        }
    }

    public static void method1() throws CustomException {
        try {
            method2();
        } catch (Exception e) {
            throw new CustomException("An error occurred", e);
        }
    }

    public static void method2() {
        throw new RuntimeException("This is not an exception");
    }
}

class CustomException extends Exception {
    public CustomException(String message, Throwable cause) {
        super(message, cause);
    }
}

在上述示例中，method2()方法抛出了一个RuntimeException，该异常被method1()方法捕获并重新抛出为一个自定义异常CustomException。main()方法捕获并处理了CustomException。

输出结果为：

Caught CustomException: An error occurred