Any way to get back or view my data after accidentally initializing the hard drive..?

I'm not super experienced in what I'm doing I was just trying to view and pull this data off an old hard drive. I was trying to view all data on the hard drive, and I think I accidentally wiped it by initializing it. (Maybe it doesn’t remove the data but that’s what I’m believing now)

I couldn't view the hard drive anywhere after connecting it to my computer with an adapter & thought I needed to initialize the drive in order to view the contents inside.

Here I am now & I'm really hoping I can get all the data back....

If I try to view it on a different computer/laptop will it be ditterent?