Is it possible to emulate Vulkan on a non Vulkan compatible gpu? I don't think there is much to explain here, since the question is pretty much in the title, but i'll try to explain myself better:

My current laptop's gpu does not support Vulkan, so i was wondering if it was possible to do something like d3d12 does, where if a specific function is not able to be performed by the gpu, it can be emulated by the cpu, while maintaing the program running and functioning, at the obvious cost of performance.

Can I achive something like that using Vulkan?
It's possible to emulate Vulkan on a sufficiently capable non-Vulkan API.  This is the point of the Vulkan Portability Initiative.  Indeed, there is already a Vulkan implementation on top of the Apple proprietary API Metal, and there is work being done to implement Vulkan on top of D3D12.  

It probably would be possible to implement a version of Vulkan that ran partially on a GPU (to which you had some other API access) and partially in software on the CPU, but unless you're working with some kind of mobile device with integrated memory, the performance of such a system would probably be utter garbage.  

If your goal is to better understand and develop for Vulkan, I'd suggest you investigate some of the existing efforts at creating a fully software Vulkan implementation.

If you're just trying to get some game to run better, I suggest you get a better laptop.