yes, you can apply for the course as I have mentioned below the required details for the admission through KCET as given in the official notification. as mentioned in the official notification there will be a special quota for the J&K students and students from the northeast as well. so just start preparing for the exam and do your best you will definitely be getting your dream come true

Children of migrants of Jammu and Kashmir are required to show proof of migration which they can get from the jurisdictional District Magistrate and Deputy Commissioner” of any state in India

all the best!!!!