No, it doesn't lol.
Nintendo uses smaller rectangular LRA motors from Alps, whilst Sony is using newer gen much larger cylindrical VAC motors from Foster.
The funny thing is that the new VAC motor that Sony uses from Foster, must be very new, because its model designation and design is actually beyond anything in their current publicly available part numbers listings for such motors.
Just look at the motor, size, placement and footprint differences between the motors used in both controllers.
There's a reason journalists have described the DualSense's haptics as considerably better.