Yes,
You can get a kit to refurbish them. Includes:
(May be other stuff...)
new shaft
plastic seal thingy
rubber seals
roller bearing
bush
grease nipple
nuts to go on the ends and a couple of spring washers
the caps to go on the ends of the bearings and bush.
You will need to knock out the old bush and roller bearings and the plastic shell thing(stops you filling the entire swingarm with grease when you grease the swing arm) clean it up etc put the new bearing and bush in and ream the bush to the right size (machining shop may be able to do this for you) and put it back in.
You may as well replace the nylon cups and suspension knuckle joints whilst your there

bump stops and anything else that needs attension.
Hope this helps
I can't remember how much the kit cost
I should ask What do you mean by sloppy are you sure the movement is coming from the swing arm and it is not wheel bearings or something similar ?