According to user requirements we need to create a workflow(not using default W/F).We need to create states and Transitions according to user needs.Is there any option to create states without impacting default states and Transitions.
Yes, you can do it. Define your own statuses and your own workflow using these new statuses. It is all documented here: https://confluence.atlassian.com/display/JIRA/Configuring+Workflow
To add to @Udo Brand's answer, it is better to create new statuses than ever touching the default ones: I try to leave everything default and just build UP instead of modifying the normal JIRA stuff. I find it frustrating to go into a new installation and find resolved as a "To Do category" IE:
Transitions aren't really shared between workflows in a way that matters so no worries there.
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