No, the TCP202A needs to use the 1103 probe power supply and a 50Ω terminator instead of the TPA-BNC adapter. This is due to the TCP202A being designed for a 50Ω termination instead of the MSO2kB 1MΩ termination.
If you switch to connecting the TCP202A to a 1103, then have a 50Ω termination between the 1103 and the scope it will resolve the issue. Note, you will need to manually configure the channel to support this setup