[{"fecha":new Date("2020-05-30T22:37:43.783Z"),"title":"Nota 1"},{"fecha":new Date("2020-05-31T23:10:04.145Z"),"title":"Nota 2"}]

db.collection.find({title:"Nota 1",$expr:{$and:[{$eq:[{$year:"$fecha"},{$year:new Date("2020-05-30")}]},{$eq:[{$month:"$fecha"},{$month:new Date("2020-05-30")}]},{$eq:[{$dayOfMonth:"$fecha"},{$dayOfMonth:new Date("2020-05-30")}]},]}})