I was wondering if it is possible to put Google Play on a Windows Lumia phone?
No. Its not possible, unless its totally wiping the phone and flashing onto it an android operating system.
Windows Phone and Windows 10 Mobile (which is the OS on Lumia Phones) are not android based Operating Systems, so no android apps can run on this platform.
For the Lumias, you have the Microsoft Store as the official apps and media distribution for the platform.
You can read this article for more clarity on the differences of the current mobile operating systems
Google Play is an Android app marketplace where you can find Android-only apps. Because of this it's not available for neither Windows nor iOS.
Simply No, there is way to run google play in any windows operated mobile phone. Google play is only run in microsoft XL because this is the android operated on windows theme mobile presented by microsoft.