You might mean "split rail fencing." That's a term I've heard more often.I will ask my parents about maybe doing split post fencing? Idk what it's called? With welded wire for our front yard. It looks great and is dog proof.
Some areas do not allow fences in front yards. You can probably figure it out just by looking at the other houses on the street--if many of them have fences, then fences are allowed. But if NONE of them have fences, then someone probably made a rule against them.