Nope, not in that case, unless it's a very dialectal Neapolitan way to say Big stone, but I don't think so.
Adding -one to an adjective you make it bigger, like macchinone (a big car), grassone (very fat), puzzone (very stinky). Puzzolone seems just a funny word for kids. Beware though, not all -one as word finals are suffixes meaning bigger.
We also have -accia (vecchiaccia=horrible old lady) to worsen adjectives;
-ina -etto to make them less big (macchinina=little car || barchetta=a little boat), they can also be used to sweeten adjs
But their use is somewhat complicated, not all adjectives get along fine with those suffixes, the shades of meaning are a lot and can vary.
Best not to use them if you're not on proficiency level, you'd risk getting misunderstood, but it's good to know they exist in case you meet them.
Sorry for the broken horrible English, I've just done Spanish Language III exam and I'm full immersed en el espanol