Yes, definitely you can.You can apply to any college by writing the respective exams for that particular state or at times college, like for Andhra Pradesh local colleges you need to write EAMCET,for Telangana local colleges you need to write TELANGANACET and for Karnataka local colleges you need to write KARNATAKACET etc.Everyone is eligible to write these exams irrespective of their region.As you said that you are residing in Faridabad and you are from Punjab you too can definitely write.But the problem is that there will be a category asking for local or non local student.(Local refers to the one from that state that is the state in which exam is being conducted and remaining all belongs to non  local.One more thing is that one becomes local to a particular region or state if he or she has been residing for approximately 5 years.For example for you all states other than Punjab (considering it is local for you) becomes non local.)That is because there is more chance for local students than for non local students to get selected.That is like local to non local is approximately 90 to 10 which makes it really tough to succeed.To make it more clear,if 2  students one is  local and other is non local get  same rank then local student is given preference over non local student to decide seat. That is the reason why people don't prefer that option of applying for government colleges of other states.All these problems arise if those government colleges allot seats on separate state wide exams.But if you see national level exams like JEE MAIN,JEE ADVANCED etc, they also allot seats in government colleges but irrespective of local or non local status.So

take these exams.Hope this helps you understand a little better.If you have any queries feel free to comment below.

Respected sir,

As far as i know you are not eligible to give examination for KCET,i.e karanataka combined engineering test  because Karnataka Common Entrance TesT is for candidates willing to enrol in the engineering courses like B.tech or B.E in the college of the state of Karnataka.

Not to qorry bro you can still go for comedk because in comedk there are colleges above Normal cost but they are good.

One more option is to crack the jee mains examination with a good score,by that you can also get a good government college even in Karnataka.

So best of luck.