Is it possible to copy/move modules from one project to the other?

6.0.1 has a cross project copy wizard:

Cross-project copy wizard

You can copy artifacts between projects by using a wizard. To copy artifacts between projects, the target project must already contain the same artifact types, artifact attributes, and attribute data types, including identical RDF URIs, for the artifacts being copied as the source project. The wizard is initiated from the target project and guides you through selecting artifacts from the source project, starting the copy, and reporting progress. A copy report is displayed when the operation is complete.

You can download the M4 milestone here:

https://jazz.net/downloads/rational-doors-next-generation/milestones/6.0.1M4?p=news#TOC_97850

I am not sure whether you are trying to copy the modules from the same server. If it is from different server , definitely the answer is No.

Hello lakshmi

You can use a ReqIF file to export a module from one project, and the import the ReqIF file to import the module into another project.  Here is a link to the info center where you can find information on how to create a ReqIF file for export, and steps on importing it into another project. 

Knowledge Center: Importing and exporting ReqIF files in requirements projects

I hope this helps.