It depends on how you define Freya, but I can tell you what I think.
If Freya is an immortal woman with superhuman powers, then, no, Freya probably does not exist.
If Freya is an immaterial mind, like a spirit, that exists externally to one's mind, then, no, Freya probably does not exist.
If Freya is an agency behind some force of nature, then, no, Freya probably does not exist.
If Freya is a personification of abstract concepts like love, then, in a sense, Freya refers to real things.
If Freya is a psychological archetype associated with processes of the mind, such as those involved with infatuation, then, again, Freya refers to real things in a sense.
If Freya is a narrative archetype from cultural folklore, stories of which teach about man's existential purpose in the universe and demonstrate cultural mores, then, in a sense, the spirit of Freya is felt by all who believe in her.