Is there a halacha about the husband not being able to stay away from his wife in his first year of marriage?
Yes there is such an idea, see Sefer Hachinuch Mitzvah 582. However if she is mochel, or for a mitzva, it is permitted,
See Chochmas Adom 129-18, Shulchan Haezer 12-10, Bais Chasanim 20-13 ftnt. 21.