It is possible, provided that:
- The firewall of your local network allows outgoing connections to the PostgreSQL listen port (usually 5432).
- The firewall of the other network allows incoming connections to the PostgreSQL listen port (usually 5432).
- The firewall of the PostgreSQL server allows connection on its listen port (usually 5432).
- The PostgreSQL server is configured to accept network connections.
You can use a network scanner such as Nmap to test things, thing to do is to get a laptop on the customer's network, and scan from there. If you can connect to the PostgreSQL from an address on the same subnet, then you know there is nothing else needed on the PostgreSQL server, and so your attention need to be on the customer's firewall. This is where things can get difficult, and you'll need to work with whoever controls that firewall / router.
Chances are that the customer's network is on an RFC 1918 subnet. If this is the case the firewall / router will need to be configured to port forward like this:
public internet
|
----public address--port nnn--
| |
| firewall |
| |
|-----rfc 1918 address--------|
|
|
|
----rfc 1918 address--port 5432--
| |
| PostgreSQL server |
| |
|--------------------------------|