can a class implement two interfaces with the same method signature?

Yes, a class can implement two two interfaces with the same method signature but that method should be implemented only once in the class.
Example

interface Test1 {
    void show();
}
interface Test2 {
    void show();
}
public class Main 
{ 
    void show(){
        System.out.println("Implemented method.");
    }
 
    public static void main(String[] args) 
    { 
        Main object = new Main();
        object.show();
    } 
}

Output

Implemented method.
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