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 or SO-DIMMs.
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 have 260 pins. Source1 Source 2 Micron data sheet