I don't think it does, no. As the GPL FAQ makes clear:
An “aggregate” consists of a number of separate programs, distributed together on the same CD-ROM or other media. The GPL permits you to create and distribute an aggregate, even when the licenses of the other software are nonfree or GPL-incompatible... pipes, sockets and command-line arguments are communication mechanisms normally used between two separate programs. So when they are used for communication, the modules normally are separate programs.
Because the app "calls the binaries as command line", I'm inclined to think that the app and git are two separate programs that you happen to be shipping together in a single installer. You have obligations to make the source code of git available to your users, under GPL, but you're not obliged to extend the GPL to your app as well. However, IANAL/IANYL; take professional legal advice before exposing yourself to liability.