Does Qatar Airlines Allow Name Change
In general Qatar Airways does not allow a name to be changed on an existing PNR +1-888-738-0920. The PNR would need to be cancelled if ticketed/un-ticketed and a new reservation is to be made using the current availability.

Qatar Airways Name Change Policy:

If you want to change your incorrect name on booked flight ticket with Qatar Airways so before starting the name change process, you must read the Qatar Airways Name Change Policy.
Passenger is not permitted to change their name on booked flight ticket from Qatar Airways.
There are some situations when the passenger is allowed to change their incorrect name such as legal authorization, marriage certification, and divorce certificate.
In a better way, passengers can reschedule or change their flight if they have entered the wrong name.
The name must match any government-issued ID.