There is no way to do this form the SourceTree UI.
The closest you can get to this: You can use the "Log selected" option from the context menu that comes up when right-clicking a file name to display the history of the file in the current branch. Within this, if you select two states, it gives you a diff between them. Unfortunately, this only works within one branch.
Supported Platforms macOS Windows To make using Sourcetree as simple yet powerful as possible we embed (bundle) dependencies such as Git, Git LFS, and Mercurial. We strive to keep these...
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