Yes you can get Int / Str stones and many other stones. (I have gotten various myself incl. Steady/strikes/int/str/lucky/dodging/warriors/all the resistances) So I think ALL stones are possible to get from destroying an item except: Astral and Immortal. (well in iSRO then, someone told me that in others they are possible to get from items but I have not seen this being confirmed)
Blocking Ratio on weapons is added with Discipline stone and can be put on all weapons. It decreases the chances monsters/opponent blocks your hits.