Bring milk and cream to a simmer in a medium saucepan. Stir in vinegar and salt; cook over medium heat until curds form, 3 to 5 minutes. Remove from heat and let stand for 10 minutes. Transfer to a cheesecloth-lined strainer set over a bowl and drain, refrigerated, up to 5 hours.
Heat oven to 350°F/180°C. Line a sheet pan with parchment.
In a bowl, stir ricotta with lemon zest, lemon juice, oregano, salt, and pepper.
Roll puff pastry lightly to even thickness and place on the prepared pan. Score a ½-inch border around edges without cutting through. Spread ricotta mixture within the border.
Toss zucchini with olive oil, salt, and pepper; arrange over ricotta. Drizzle with honey and sprinkle with Parmesan.
Whisk egg with date syrup and brush border. Bake until the pastry is puffed and deeply golden, 25 to 30 minutes.
Finish with more Parmesan, lemon zest, oregano, and a light drizzle of honey. Serve warm.