Yes.

Get a manual vac head, pole, and hose like these at Amazon;
Poolmaster 27514 Classic Full View Triangular Vinyl Liner Vacuum
Hydro Tools 8365 8- to 16-Foot Adjustable Fluted Premium Fluted Telescopic Pool Pole, White
Poolmaster 33430 Premium Vacuum Hose with Swivel Cuff, 30-Feet by 1-1/2-Inch
If you get them locally, be sure to get a pole that's long enough to reach to the middle of your pool and a hose that will reach to the ground, with 6' or 8' left over.

Once you have those, you can set up a siphon with the hose, to the ground. One trick: you'll need to put the draining end of the hose into a bucket or pail, so that it's submerged. Otherwise, with low flow -- like when the vacuum hits some sludge or the like -- you'll tend to lose the siphon.

You can use polyquat, or a floc to try to make it easier to settle and remove. However if those particles are ALREADY settling, it might not make any difference.