All perfect praise be to Allah, The Lord of the Worlds. I testify that there is none worthy of worship except Allah, and that Muhammad
is His Slave and Messenger.
There is no harm in working in a position that involves entering health insurance data for clients, as this does not constitute direct or intentional assistance in concluding a commercial health insurance contract.
It should also be noted that in non-Muslim countries where cooperative (takaful) insurance is not available, it is permitted to subscribe to commercial health insurance — even if it is not mandatory — due to the general need for medical treatment and the high cost of healthcare. This is the ruling issued by the European Council for Fatwa and Research.
Allah knows best.