As for taming, it is good to know you still need to be somewhat near for the taming process to "tick" (the range is in the wiki, it's quite large actually). So arrange so that you have some chores you can do somewhat near the enclosure (but far enough the pig will not aggro you, behind a wall etc...). Feeding / breeding will not need you to be close by.

As for the one guy asking: yes, two or more pigs will reproduce, as will other tameable animals.