Mhmm! Max without having to displace any when you collect is 125 according to the wiki.
Thing is, it takes 14 days to get to silver quality, another 14 to get to gold, and another 28 to get to iridium for a total of 56 days (2 seasons!) to fully age wine...if your greenhouse is purely ancient fruit, thats 116 fruit every 7 days, and assuming you have the kegs to support it, 116 bottles of wine every 7 days after that. Its not possible to keep up with aging all of your wine at that point, so my advice is fill up your casks, throw a second batch in a chest while those are aging and sell the rest so you can buy all the shinies