Yes the concept has been explored but don’t let that stop you please! This is called a stellar engine or Shkadov thruster and it is really cool. By the time you’re swinging earth around like a piñata at the end of a stick you can also move other bodies, saaay suns, and if its millions of years in the future the people in your world probably have the time to spare to go get them, so the sky is the literal limit. Have fun!