Is there some shortcut that would allow me after creating method in an interface, select and jump to implementing class of that interface?
Yes, On mac, it is Command + Option + B. You will need to move your cursor to the interface name before invoking the shortcut. I'm not sure what's the shortcut in PC, for if you right click the interface name -> "Go To" -> "Implementations"... the shortcut is listed there.
In Windows, it is CTRL + ALT + B: JetBrains navigation documentation.