HI Kundan,
Yes, this is possible. To achieve this you need to create a custom form associated with the project object type, which has the same fields that are used on your request form.
The easiest way to do this is to create a copy the existing request form and associate it with the 'project' object type, you can then attach this to your project when converting a request resulting in custom data from the request form being copied over to the project during the conversion process.
Hope this is clear and makes sense! Please shout if you have any questions.
Best Regards,
Rich.