In a saucepan, add water, sugar, 1/2 cup pears and fresh ginger. Bring to a slight simmer and stir until the sugar has dissolved. Remove from heat to cool completely.
Strain the simple syrup through a fine mesh sieve and set aside.
Fill a cocktail glass with crushed ice. Add 1 shot of vodka, 1 tablespoon pear simple syrup, and fill the rest with ginger lemon kombucha.
Garnish the cocktail with pear slices, pomegranate seeds, and thyme! Repeat the process with for remaining cocktails. Serve and enjoy!