No, Git is not designed to control working copies over a network. You might be able to make it work using some sort of network-attached storage (make the remote files appear in your local filesystem), but many people have reported problems using Git with these setups.
The better approach is to clone the repository to your local machine, and either use FileZilla to copy files up when they're ready, or use the push-to-deploy feature introduced in Git 2.3: http://krisjordan.com/essays/setting-up-push-to-deploy-with-git
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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