NO YOU CANT!
You need to get the shank type lug nuts for the wheels as the shank part is what centers the wheel.
Right now the wrong nuts are not supporting the wheel.
To get the right size shanked nuts you need to know the thread size and how deep the wheel if from the face where the washer sits, yes you need washers also, to the back side.
If it is say 1/2" you don't want shank nuts that are 9/16" long or the wheel will not tighten down.
Also FYI threads should come out the end of the nuts half the dia. of the stud so if the stud is 1/2" it should poke out 1/4", they do not in your picture.
Local auto parts store should be able to get them or go thru Summit Racing or Jeggs.
Dave ----