Friction is caused by two materials coming in contact with each other. It can be increased by moving the objects against each other faster. Oppositely, slowing down the movement will decrease friction.
Moving the objects faster may increase the amount of heat that is dissipated by friction, but it does not increase friction itself. Friction is a constant that is determined by the two materials that are in contact with each other and the force with which they are pressing together. Also, there are different types of friction. Try tying a block of wood to a string and pulling it gently along your carpet or other flat surfaces. See what happens when you add extra weight on top of the block. Here is a more technical explanation of what is happening:
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