Yes, you can catch the shiny version of Exeggcute in Pokemon GO, but you need to be very lucky to find one.
Any Exeggcute you encounter in Pokemon GO has a very low chance of being shiny. The shiny odds are roughly 0.2%, meaning, on average, only 1 in every 500 Exeggcute you encounter will be shiny.
The best time to catch a shiny Exeggcute is during the Pokemon GO Exeggcute Spotlight Hour. This is because Exeggcute spawns will be greatly increased during this event!
What Does Shiny Exeggcute Look Like in Pokemon GO?
Shiny Exeggcute is a bright yellow color. This makes it stand out from the standard version of the Pokemon, which is a light pink color.
Meanwhile, the shiny version of its evolution, Exeggutor, is also yellow and has brown leaves. This color scheme is shared with shiny Alolan Exeggutor too.
How to Get Shiny Exeggutor & Alolan Exeggutor in Pokemon GO
To get a shiny Exeggutor in Pokemon GO, you must evolve a shiny Exeggcute using 50 Exeggcute Candy. You cannot encounter a shiny Exeggutor in the wild or after beating Exeggutor Raids.
Meanwhile, any Alolan Exeggutor you encounter in Pokemon GO has a low chance of being shiny (0.2%), however, it is only usually in Raid battles and doesn’t spawn in the wild often. This is because there is no Alolan Exeggcute to evolve it from.
Both Exeggutor and Alolan Exeggutor are Raid bosses in the Pokemon GO Spring into Spring event. Just remember that you can only encounter a shiny version of the Alolan version after beating it!