For some phone Service you can. For Fios Digital Voice you can set it from the website or by star code *31 (*32 turns it off again). For some phone service you will have to deal with a person (1-800-VERIZON).
The *82 code you mentioned is only of use then you have turned on callerid block, as it lets your callerid be visiable for a single call.
The *67 code is useful when you have not turned on all callerid block, to turn on callerid block for a single call.