Multiple DNS to same SDP instance

Multiple DNS to same SDP instance

Sorry - I'll stop asking so many questions soon...

Do you know if it is possible to have 

using both DNS names with our current system 

In other words we have a sister company that uses SDP on premise. We will likely bring their users to our SDP instance. Fully licensed and pair for of course..They have a URL/DNS that their users use to access their local on premise SDP. We have our users who access our local version of SDP that has a completely different URL/DNS address. Is it possible to route their old URL/DNS to our URL/DNS so that both URL's point to out local SDP instance?

Fine if it isn't possible but I was asked and didn't know..

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