Yes, sometimes in fanfiction, Harry Potter might have this hope.
It's quite possible. Fanfiction allows for various creative scenarios, and having Harry Potter hoping about his glasses' whereabouts is not uncommon. Different authors can come up with such storylines based on their imagination and interpretation of the character.
Well, it could be that Harry Potter misplaced his glasses when he was sneaking around the forbidden area with Draco. Maybe there was some confusion or a magical mishap that caused him to lose them.
In this fanfiction, it could be that Harry Potter was in a chaotic situation and simply misplaced his glasses. Maybe he was in a battle or a confusing adventure.
One possibility could be that in this fanfiction, Harry's glasses are some sort of magical anchor. Without them, he might accidentally slip into a different dimension. Maybe he was in the middle of a battle at Hogwarts, his glasses got knocked off, and suddenly he vanished. It could be that the glasses were enchanted by Dumbledore long ago to keep Harry in the 'right' magical space, and without them, he's lost in a sort of limbo.
Maybe they were lost during a magical battle or adventure. That's a common theme in fanfics.
Well, if the Snatchers made Harry lose his glasses, it could change the whole dynamic of his character. Harry is known for his glasses as part of his identity. Without them, he'd be in a rather difficult position. He might be more likely to be caught by the Snatchers as he wouldn't be able to see clearly to escape. It could also lead to some character development where he has to overcome this new obstacle, perhaps learning to trust his instincts more than his sight.
One possible fanfiction could be set during a fight with some dark wizards in a back alley. Harry is outnumbered and gets beaten up badly. In the chaos, his glasses are knocked off and broken. He has to rely on his other senses and magic to fend off the attackers until help arrives.
Perhaps in the fanfiction, Harry is kidnapped by a powerful magical creature that has a vendetta against wizards. When it grabs Harry, his glasses are knocked off. The creature takes him to its underground den. Harry, without his glasses, is at a great disadvantage as he can't see well. But he remembers the magic within him. He tries to communicate with the creature using Parseltongue (if it's a snake - like creature). He hopes to either convince it to let him go or at least find his glasses so he can better defend himself and find a way back to Hogwarts.
In fanfiction, without his glasses, Harry Potter might be seen as more vulnerable. His glasses are like a part of his identity, and without them, he may struggle more with seeing clearly, which could add an interesting layer to his character, like when he's in a dangerous situation and his blurry vision could lead to some unexpected plot twists.
A fanfiction might have it that a new dark force in the wizarding world targets Harry. They manage to trap him in an old, abandoned manor. They torture him using various dark spells, and during the chaos, his glasses are lost. Harry endures the pain and tries to remember some of the spells Hermione taught him for self - defense. Eventually, he breaks free from his bindings and starts looking for his glasses. He stumbles around the manor, using his wand light to search, while also being on the lookout for the return of his captors.
He could try to trick the Snatchers into giving them back. Maybe he pretends to be more injured or incapacitated than he really is, and when they come close to check on him, he quickly grabs his glasses back.