In a collision between two particles, the transfer of energy depends on various factors, such as the masses and velocities of the particles involved, as well as the nature of the collision (e.g., whether it's elastic or inelastic).
In an idealized elastic collision, where there is no net loss of kinetic energy, energy can be transferred between the particles. If particle A is moving faster than particle B, and the collision is elastic, then energy will indeed be transferred from particle A to particle B. The faster-moving particle will lose some of its kinetic energy, which will be gained by the slower-moving particle. However, the total energy within the system will remain constant.
On the other hand, in an inelastic collision, kinetic energy can be lost during the collision. In such a case, some of the kinetic energy of particle A may be converted into other forms of energy (such as heat or deformation), resulting in a decrease in the total kinetic energy of the system.
It's important to note that the specific details of the collision, including the masses, velocities, and collision dynamics, will ultimately determine the exact energy transfer between the particles.