python http proxy binding 1 session (source port) for multi client/process

Is it possible to create one link connection to a webserver and then proxy anything to that webserver.

For Example:

Client A (IP_CLIENTA:11111) ---HTTP---> (IP_PROXY:1234) Python Proxy Server (IP_PROXY:54321) -------> (IP_REMOTE:8001) Web Server

Client B (IP_CLIENTB:22222) ---HTTP---> (IP_PROXY:1234) Python Proxy Server (IP_PROXY:54321) -------> (IP_REMOTE:8001) Web Server

I know that only one connection for one active connection (1 source port, 1 dest port). Can we switch and queue request on proxy server 1 by 1?