Are diffusion and osmosis types of active transport?

No – diffusion]( are examples of passive transport
Diffusion is the movement of particles from areas of high concentration to areas of lower concentration. This is described as movement with the concentration gradient.
Osmosis is a special type of diffusion. It is the movement of water molecules from areas of lower solute concentration to areas of higher solute concentration, to reduce the difference in solute concentration of the 2 sides.
Diffusion and osmosis do not require any energy, so both are examples of passive transport.
To move particles against the concentration gradient (low to high concentration) would require energy. Any transport that requires energy is called .
Hope this helps!