Can Gas diffuse according to its partial pressure, not according to its concentration in gas mixture? by Raoult's law,

Partial pressure  =  total pressure  X  concentration(mole fraction)

In gas exchanging situation of 2 gas mixtures which are different in total pressure from each other(like higher temperature?) and include gas A of same concentration, each gas A in 2 mixtures will be the same in its concentration but different in partial pressure. Then, gas A will diffuse from high partial pressure to low partial pressure even though this diffusion is from low concentration to high concentration. Is this right??

Sorry for any misconceptions.
Strictly speaking, diffusion occurs due to gradients in chemical potential.
One implication of this is that sometimes diffusion can occur from lower to higher concentration.
See, for example, this nice class summary

If the total pressure is different, the transport will also occur by fast flow convection instead of diffusion until total (mechanical) pressures are equal (unless thermal transpiration effects are significant).