Usually that will work. You'd generally want to work through this with whoever is managing the network since it does impact that area. You can find some tips about using non-standard ports (there are various things to consider) in this article:

https://blogs.msdn.microsoft.com/dataaccesstechnologies/2010/03/03/running-sql-server-default-instance-on-a-non-default-or-non-standard-tcp-port-tips-for-making-application-connectivity-work/

And this article here on SSC lists the default ports used and has some information on ports you can use:

http://www.sqlservercentral.com/articles/networking/75481/

Sue