"늘 바뀌어 어김없이 오늘도 그가 날 찾아"
=> (It) always changes. Without fail he's looking for me again today.
The line appears to be two phrases put together because "늘 바뀌어" and "어김없이" are opposite in meaning.
- 늘 바뀌어: (someone/something) always changes. (the phrase can come in the middle or at the end of a sentence).
- 어김없이 (without exception; without fail) 오늘도(again today) 그가(he) 날(me) 찾아(search for; visit).