I think the question is whether there is GIT plugin for Eclipse. You can create standard Java Project in Eclipse (or any other project) and take advantage of Eclipse features, incl. integration with third party versioning systems.
Fast method how to add TEE nature to your existing project in Eclipse: Connect to your database in Toad Extension Perspective, add Schema Browser View to Java Perspective and use drag and drop technique to create new file for dragged object. SQL folder will appear in your project automatically. This folder is similar to SRC folder that exists in your Java project. As you may suppose, files in SQL folder will contain code for your database objects. Each object should be represented by one file.