Yes, groundwater wells will also contain various metals, no mater what the depth. And just because a well is drilled and tested with levels lower than the Maximum Concentration Level (MCL) those levels can increase over time and even cause them to be abandoned.
I once worked for a small city in Eastern Washington which got all of its water from deep (1,000 foot +) wells and the scientist from the Hanford area would come get background water from us because of the purity to compare to the wells on the Hanford Reservation.
A close nephew of mine has a home with well water. I have been trying to get him to have the well tested, which was last done when they bought the house at least twenty years ago - and they are not the original owners.