It should be possible, but you have to do this on your own.
You have to go through the documentation of Siebel and GIT to see which changes you need to make to the Siebel batch file.
And you have to know how you can control GIT from the command line.
More info can be found on Supportweb.
How to integrate Siebel Tools with third party Source Control Applications? [ID 816343.1]