No, a registered person will have to approach only one tax authority for all practical purposes. Each registered person would have one tax administration office, either of the Centre or of the State. Legal provisions (called cross empowerment) have been made to ensure that one officer can discharge all functions under CGST, SGST and IGST Act. The registered person would be informed of the tax administration concerned with him. A single registration is granted for the purposes of CGST, SGST/UTGST and IGST.
(FAQ 5: MSME)