Not to be the dissenting voice here, but there is more to this than just NO...
Trees do not crush septic tanks, lift sidewalks, crack rock or the related events they are so often contributed to doing. Trees, (99.9'% of them) like other botanicals, encapsulate what they grow over or on. They do very little penetration of a closed system...though some species can be more invasive than others....Willow for example can be very invasive and do a great deal of searching with there roots for water. When the find it, they can clog a system in short order if there is any leaks...leaks be the key focus...
Septic tanks tend to leak, so for that reason, planting trees around them is not advisable. Yet, a blanket No, if the tank is under 1 meter of soil there is less risk, and some folks will "restrict" the trees growth buy building a subsoil bin for them...Kinda like a giant bonsai...
This link is one of many good reads on the subject as all my old Arborist notes aren't digitized...
Trees Roots in Your Sewer and Water Line