This includes taking stuff out of the dams. You will be attacked if you do so. Per dam, it is possible to find one to three beavers. See Giant Beaver Dam for a map of locations. Castoroides will not attack any entity (whether it be player or creature) unless aggravated to do so....
The method I used to tame was picking up the beaver with my crystal wyvern and dropping it in a taming pen. Pretty easy knockouts but their torpor drop rate is INSANITY and you can't leave then for more than 3 minutes. Feed them either mejoberries or crops (kibble is really expensive ...
In Ark Lost Island, Beaver dams are the main source of farming Cement. Cement can be farmed at the following locations in Ark Lost Island: Location #1 On the southeast shore, a beaver dam will be there. The first Cement Paste can be farmed at the following coordinates: ...