Yes --- assuming:
That wifi is available through the corporate network, and
Connection to the server is available through the wifi connection, and You have permission to access the servers.
As mentioned above, you will need to talk to whoever takes care of IT about your question.
If your IT says "No, you need a wired connection (ethernet) for the server", then that's the other reason that you will need to verify that. Then, the answer will be "no, wifi connection is not possible"
We can only guess from here, but if you suspect (in your post #1) that your network won't allow access to the server through wifi, it's possible that you are correct.