Could a Dyson fan displace more air without increasing the fan size?
Thrust is small amounts of air at high speed correct me if I'm wrong.


No, more air at lower speed is more efficient. Thrust is derivative of momentum added to the air, while power is derivative of kinetic energy added to it. Since momentum grows with velocity, but energy with square of velocity, accelerating more air by less creates the same thrust with less power.

Dyson fan works by blowing a thin stream of high velocity air along the ring, which then pulls in more air to create a very smooth air flow through the ring. To create this high velocity flow, you have to provide a lot of energy, which will then dissipate as heat when the streams mix, but you have no way to recover any of it as it happens already behind the fan. So it is very inefficient and while adding power will make it generate more thrust, it will only further reduce the efficiency as the flow speed increases.