Yes. The number of concurrent connections supported by your mobile device will be determined by the BLE chipset and the Bluetooth Stack of your mobile device. In terms of packet collisions, I would not be worried, as a Bluetooth Low Energy Central schedules its connections, i.e. it will communicate with one peripheral at the time sequentially. See Connection timing as a Central.
The nRF52832 and the S132 v6.0.0 SoftDevice supports up-to 20 concurrent connections.