^^^ the STP 'oil additive' sold at most gas stations in the dark blue bottle can make up for missing zinc/ ZDDP (NOT the 'smoke away' version in the slightly lighter blue container, thats a different formula)
No, STP can NOT "make up for missing zinc". Based on my research -- and DON'T take my word for it, look it up yourself -- the STP oil additive does NOT have enough zinc to make up for reduced-zinc oil. These things are subject to change, but it's my understanding that the STP only has 1900 PPM ZDDP. If it's a half-quart, in a 5 quart system this will only raise your average ZDDP by 172 PPM. You need somewhere around 1,200 PPM of ZDDP to be in a safe range, and there is NO standard oil today (except those specifically formulated with zinc, VR1 for example) that will be raised to 1,200 PPM by simply adding STP. The Rislone additive that specifically mentions zinc has 5,000 PPM ZDDP, this would raise the average zinc content in a 5 quart system by about 455 PPM, and even THIS would still not be enough for me using reduced-zinc oil, and not as much as plain old VR1, which claims 1,200 PPM.
This STILL doesn't take into account that on first start, your additive isn't going to be mixed with your oil, AND, the additive is going to change other characteristics of your oil, possibly adversely, as opposed to using the RIGHT oil in the first place.
If you care about your car, it's my strong suggestion that you do a little bit of digging and find out for yourself if you're better off using a quality oil with the additives already engineered into it, or buying a bottle of some cheap oil modifier and throwing it in because it's easy, and some other guy says he hasn't had any problems yet. Just my two cents.