You can export the rules from the MRS and deploy into another Informatica env. If you are talking about migrated to some other applciation/tool and re-use the Informatica logic...no.
Adding to Scott's update, as the DQ rules are stored part of MRS you can use the below options to migrate the content to other environments.
1. Developer tool (Export/Import)
2. OR infacmd tools exportobjects/importobjects. (Refer command reference guide of 10.4.0)
Hope this helps.