Yes. An interface can extend multiple interfaces, as shown here:

interface Maininterface extends inter1, inter2, inter3{  
  // methods
}

A single class can also implement multiple interfaces

interface A
{
    void test();
}

interface B 
{
    void test();
}

class C implements A, B
{
    @Override
    public void test() {

    }     
}

Single implementation works for both.