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.
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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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