To recycle plastic, the only viable way is to melt it. And the plastic must be very clean before it can be remelted. If it even is a kind of plastic that can be reheated multiple times. I am afraid the short answer is no.
I imagine this rube-goldberg'esque strandebeest-like contraption sitting out there harvesting wind and waves, slowly turning every bottle it gorges on into a finely woven matte of materials .. maybe even reproducing itself, who knows ..
EDIT: I asked Grok to design a self-replicating ocean weaver, and I have to say .. it seems like a viable idea to me. Perhaps we will see this kind of plastic harvesting in the near future .. at the very least, were I to be stranded on a plastic-laden island, I'm pretty sure I could work out a way to build a raft with sails ..
But as you say, turning them into something else isn't the critical part, collecting them in the first place is. The most important thing is taking them out of the environment so they stop breaking down into microplastics and the like.
Personally I think all these creative solutions for reusing plastics aren't so important. Collect it and put it in a giant landfill like an old open mine, bury it and forget about it until a future generation invents an efficient way to recycle it, then mine it like a resource.
I asked Grok and it said you didn't ask it.