Hi Sammer,
Yes, the K70 devices are supported in CodeWarrior:

You can add the support for the Kinetis devices by going to menu Help > Install new software:

Choose to work with all available sites, select Kinets Support and then proceed with the installation:

Please notice that new Kinetis devices introduced after the recent release of CodeWarrior IDE for microcontrollers v10.6 (released on April 2) will not be supported so I would recommend you to take a look to the new IDE Kinetis Design Studio:
Kinetis Design Studio Integrated Development Environment (IDE)|NXP
Hope it helps!
Best Regards,
Carlos Mendoza
Technical Support Engineer