Everything depends on the relative positions of the Sun, Earth and Moon. At full moon, the Moon lies opposite the Sun in our sky, so it rises around sunset and sets in the morning. During other phases, it may rise in the morning, in the afternoon or long before darkness falls.
The daytime Moon is easiest to see when it is sufficiently far from the Sun in the sky and is not illuminated as an extremely thin crescent. The blue sky does not hide it completely: the atmosphere scatters sunlight, but the Moon remains bright enough for our eyes to distinguish its disk.
Just do not search for it by looking close to the Sun, because direct sunlight is dangerous for your eyes. It is much nicer to glance up by chance and discover that the beauty of the night is calmly wandering across the daytime sky.
The stars speak. You decide.