Before thinking of using a pressure washer, make sure that you have a secondary roof/membrane underneath the concrete tiles. Use a ladder and push up a tile to check whats underneath the tiles. Even if you instruct the workers to pressure spray downwards, and not upwards, water will always find a way through a tile based roof when high pressure is involved.
Chlorine isnt harmful to your garden, its actually a macro-nutrient for plants. And it has a tendency to stay inside the concrete tile and reduce future growth. Stronger chlorine mixes are better. I use pool shock and make a mix right before I spray the roof with garden sprayer. With a strong chlorine mix, there is no need to use high pressure. And you can use this trick to clean dirty walls and outside concrete floors of growth for pennies. Sometimes household bleach is left in stores for years, and will greatly lose its potency, thats why pool shock is better value. And as other people in here have said, using a wetting agent like dish soap to reduce evaporation and increase contact time is a good idea.
If roof tiles get cracked from walking on them, they are very easy to replace as long as you have spare tiles on hand from the same manufacturer. Tiles dont crack because of water pressure, but the weight of a man can split them, as they are just made in a mold from sand and cement with no reinforcement.