Prying open hard drive

Hello - the actual external hard drive I have is a Western Digital easystore 2TB hard drive. The reason I chose the My Passport Ultra is because its practically the same size, form and shape as the easystore EXHD I have. Unfortunately earlier this year when I was getting my new computer all setup, I dropped this hard drive of mine on the floor as it was on top of the CPU. Now, the hard drive just makes a clicking noise every time I plug it in. I wanted to see if there was a way I can extricate the hard drive itself from the case and use a recovery reader I have . However, it seems impossible to do with no way to slither my way through the edge of the hard drive casing.

Thank you

-Jordan