Thanks VincentNo latency is impossible.
Bluetooth latency is a bit complex as it depends both on hardware and software. A latency between 150 - 200 ms is common.
You might have a look at transmitters supporting the APTX-LL Codec. LL=Low Latency. You can obtain 30-40 ms.
An alternative is not to use Bluetooth but a dedicated wireless transwitter.
SVD Soundpath claims 14 ms.
Klark Teknik Air Link DW20T also claims 14 ms.
Still not happy? Google a bit on live sound. Companies like Shure claim a latency < 3 ms.