京語 (pronounced gyoeng-eo 경어) literally means something close to "foreign language of our capital" in Sino-Korean and just doesn’t make sense. I’ve never seen it used in Korean, but perhaps it might make sense in some odd situation like the Korean suzernaity to the Tan Chinese.

However, even that explanation would be a stretch since most often the Sino-Korean 경어 is a homonym for honoriffic words.

So my vote is for not, but I also speak a couple Chinese dialects and have never seen that either. My guess that if it is anything it is Sino-Japanese. In Sino-Japanese 京 is the same Kyo as in Kyo-to and the 語 means mother-tongue.

The problem with most Sino-anything definitions is that most words aren’t Chinese, but are from some other East Asian country that uses Chinese characters to distinguish among the native language’s mother tongue.

Anyway, hope that helps.