Is it possible to forward packets to two NS simultaneously?

Is there any option to use one gateway with two network servers? I have private NS (chirpstack), but would like to use same GW with TTN for public use. Is this possible?

Have you searched the forum? the question has come up multiple times already.

Short answer: yes it is possible with the right packet forwarder but might cause airtime issues due to the NS keeping track of used airtime. Also scheduling conflicts for downlinks may occur.
TTN strongly recommends not to go that way but use packet broker.