Short answer: Not really, as long as your venture falls into a hike.
Although you are technically experienced, the advance first-aid certification does not make one technically capable of leading a expedition in Himalayas.
For any of the mountaineering adventures above 6000 m, IMF mandates that a expedition leader should have a Advance Mountaineering Course certification from any of it’s affiliated organizations and should have registered a successful ascent of a 6000 m peak.
However, you are clearly terming your venture as a hike, I assume it ill be at most up to 4500 m considering the GHNP region. It would be better if you opt for local guides and support staff, but no governing body mandates you to hire a guide. Also, hiring a guide and/or local support staff eases out the procedure with hiking permits in the region.
Credit:stackoverflow.com‘