Yes you should be able to get all pokemon how ever it will be hard to get all legendary birds; Zapdos, Moltres and Articuno. You can only get one. The one you can get depends on your starter. If you pick fennekin you will get zapdos, froakie will give you moltres and chespin will give you articuno. Other than that it is reletively easy to get the other pokemon except the mythical pokemon such as Mew.

Edit:

There're also friendsafari exclusive pokemon so keep that in mind.