simultaneous read & write on socket fd

Hello,

Assume a tcp/ip connection between two Linux platforms established via
the socket interface. The processes on the two platforms communicate
through a file descriptor.
Is it possible to simultaneously read and write on one socket file
descriptor from 2 threads within the process, i.e. one thread reads
data the other thread writes data at the same time on the same file descriptor ?

Or will this screw up my data ?

Thanks for advice.

Dirk