You can use a high quality HDMI to transmit 4K content. However, I highly doubt that the lighting port on your iPhone along with the lighting to HDMI adapter can support 4K.
Edit: Found an old MacRumors thread that confirms you cannot. https://forums.macrumors.com/threads/iphone-6s-plus-4k-output-to-tv-set.1928975/
FYI: Finding the answer took me about 10 seconds by searching online. In the future, you may want to do the same to get your answer faster instead of making a new thread. Just trying to help.