How can I get data off a laptop hard drive that is in a broken laptop?

Q: I have an old laptop that will only start up as far as the ‘welcome’ screen. The keyboard wont work, so I can’t type in my password, and the mouse wont work either. I want to know if there is a way for me to access the contents of the hard drive in my broken laptop and dump them onto the hard drive of my current, working one. I can’t grant remote access from my broken laptop obviously, since the keyboard/mouse doesn’t work, but I really want the pictures off of the hard drive. If there’s anything you can tell me that might help, I’d really appreciate it!