It depends on what is the remote Git repo hosting service.
For GitHub, for instance, you can use GitHub for Mac to publish a new local repo to a new remote GitHub repo.
Not all hosting service provide that kind of feature though.
For an in-house hosting service, there is no direct way to create a repo through a GUI directly on the remote server with Git alone: that bare repo needs to be created on the server first, before the GUI can clone it on the client.
If you can install a local hosting repo service, like for instance GitLab, then you create repio on the server through the GitLab GUI.