You can, of course, take the whole thing apart. It's not that difficult if you have a suitable pin spanner (the Park red one fits most freewheel cones). Unscrew it clockwise*, as it's left-hand threaded, but do this over a bowl or something as all the bearings will drop out, possibly with the pawls and shims too. Reassembly is pretty obvious but you'll need some sort of thin grease to hold the balls in place until you get it back together. If the freewheel had a lot of wobble, try removing one of the shims when reassembling.
*it needs to be attached to a wheel to get sufficient purchase on it, or you can screw a LH HT2 BB cup into it and use the HT2 spanner to provide leverage against the pin spanner.