I'll try again...
Your question: "Can a 35mm (Widescreen) lens be used on a SD Panasonic camcorder (Not an SLR or DSLR camera)?"
My response: Maybe. Since we don't know which "Panasonic camcorder... over-the-shoulder type of thing..." to which you refer, we have no way to know if it has an interchangeable lens system or if it has mounting threads to add a DOF adapter. You tell us which model number or the Panasonic Standard Definition shoulder mount camcorder AND the manufacturer and model of the "35mm (Widescreen) lens" and we'll tell you how the might be able to fit.
Your comment: "whether its possible to use a 35mm lens on a camera that's lower than HD and get widescreen" and the rest of the paragraph is confusing.
My attempt to clarify: The first number is the vertical pixel count; the second number is the horizontal pixel count:
Standard Definition video
640x480 (4:3 aspect ratio - you do not want this)
854x480 (widescreen 16:9 aspect ratio - you want this)
High definition video
1280x720
1440x1080
1920x1080
All are widescreen - by international standards definition, high definition video is widescreen. This has nothing to do with the lens being used and has everything to do with the imaging chip and the option selected in the camcorder.
For example, while not a shoulder mount, the Panasonic AG-DVX100 is a professional-grade, digital camcorder that records only standard definition video. Link to its manual:
http://service.us.panasonic.com/OPERMANPDF/AGDVX100A.PDF
The default is 4:3 aspect ratio. Page 42 tells us that the "ASPECT CONV" can be set to Letterbox for 16:9 aspect ratio (widescreen). Please not there is nothing in the manual that references having to change a lens.
Page 69 tells us the lens filter diameter is 72mm. When the lens hood is removed there are threads on the area surrounding the lens. This means a filter with a diameter of 72mm can be used... so can an add-on lens like
http://www.bhphotovideo.com/c/product/445219-REG/Impact_DVP_WA70_72_DVP_WA70_72_72mm_Wide_Angle.html
In this case, this is a wide-angle lens. But you want to add a 35mm lens. In order to do that you need an adapter that mounts to the mounting threads on one side and allows the 35mm lens to mount on the other side. In this example,
http://www.bhphotovideo.com/c/product/548253-REG/Letus35_LT35EX72_LT35EX72_Extreme_35mm_Lens.html#!
this adapter comes with a 72mm adapter to fit the DVX100 on one side and the other side allows lenses normally used by 35mm cameras... including a 35mm lens. Since the different 35mm camera lens manufacturers have different mounting methods, it will be prudent for you to contact the retailer or Letus to understand which 35mm lenses can be used with this adapter. Please not there is no mention of any widescreen aspect ratio. These adapters are for depth of field only - they provide a longer focal point. This allows the captured image to have a foreground in focus and background out of focus - or the other way around depending on what the camera operator focuses on.
Now, lets move to more modern cameras that have an interchangeable lens system... the Sony NEX-EA50M has an E-mount lens system, APS-C imaging chip and a hotshoe for a flash unit - like a dSLR... but it is designed to capture video and has a shoulder mount. While it does not capture widescreen standard definition video, between the lowest quality setting of high definition (remember, that's widescreen) and editing/rendering, I can downsample the high def widescreen to be standard def widescreen.
http://pro.sony.com/bbsc/ssr/cat-broadcastcameras/cat-nxcam/product-NEXEA50M/
And I can use "35mm lenses"... just search "E mount 35mm lens" and you'll see a large selection. But I don't need a 35mm lens to do widescreen. The lens that cam with the camera is very capable.