Is there a windows equivalent to using ~/ as a shorthand symbolizing your home/user directory? [duplicate]

Unfortunately, in regular windows prompt there is no shorthand notation. You can use %userprofile% or %homepath%, for example cd %userprofile% and cd %HOMEPATH%\Videos as per your example

In Powershell, however, you can use the tilde ~. If you use console a lot I would recommend creating a shortcut to the Powershell rather than regular command prompt