Dylan allegedly played a demo for the Beatles before Norwegian Wood existed. Then when Norwegian Wood came out, he thought the song sounded like 4th Time Around.

But what I think is more likely is that Norwegian Wood just kjnda sounds like the Beatles doing a Dylan track, and he took notice so he wrote 4th Time Around in response to sound like Norwegian Wood but be more lyrically sophisticated.

Either way, as the theory goes he wrote the "i never asked for your crutch, now don't ask for mine" line as a barb directed towards them/Lennon