For sure.
Today the desktop and server versions of Ubuntu 15.04 (aka Vivid Vervet) have been released. The team is now looking into basing the stable phone images on the vivid sources.
Moreover, there has been some announcements regarding convergence. Ubuntu is getting closer to running the same OS on all platforms.
First of all, there will be work done on the Ubuntu UI Toolkit in the next release cycle to make Ubuntu SDK apps perform better on Ubuntu Desktop. The devel-proposed images already ship with a new application header.
Furthermore, it was announced that all versions of Ubuntu (phone, desktop and server!) will soon be based on the new "Snappy" application format. That will make the different versions of Ubuntu be even more alike!
Exciting times are ahead for Ubuntu but please keep in mind that it will take some time until these things land in the images.