No.   
They use different connectors, different rules to activate and refresh the stored values, and different voltages, so even if someone could make a physical adapter, it still would not work.  It's very, very rare that a motherboard would have both kinds of connectors.

If you will provide the make and model of your motherboard, laptop, desktop or server, we can advise whether you use [DIMMs][1] or [SO-DIMMs][6].

DDR3 for desktop and server PCs use a 240 pin connector; DDR3 SO-DIMMs for laptops have 204 pins.

DDR4 for desktop and server PCs use a 288 pin connector; DDR4 SO-DIMMs for laptops and [some Mac desktops][2] have 260 pins. [Source1][3] [Source 2][4] [Micron data sheet][5]


  [1]: https://en.wikipedia.org/wiki/DIMM
  [2]: https://support.apple.com/en-us/HT205040
  [3]: https://www.wepc.com/reviews/ddr3-vs-ddr4/
  [4]: https://www.bestsevenreviews.com/ddr3-vs-ddr4/
  [5]: https://www.micron.com/-/media/client/global/documents/products/data-sheet/modules/unbuffered_dimm/ddr4/asf9c512x72az.pdf
  [6]: https://en.wikipedia.org/wiki/SO-DIMM