Yes but only under adult supervision until the child is at least 12 years old or until you feel comfortable with their attention and skills. Check the instructions for the manufactor's recommendations.
Foam rc airplanes are a wonderful hobby entailing the building and flying of model airplanes that are constructed out of a lightweight but durable foam. More information on this hobby can be found at www.rcfoamairplanes.com.
Any hobbie store you can find foam RC airplans and other airplanes yu might want. Ask the stor clerk if he knows where to get them and you should be on your way.
RTF airplanes are pre-assembled RC airplanes built to eliminate assembly time. This option is typically used for younger children or those uninterested in the construction of the planes themselves.
RC airplanes are suitable for many different ages. Usually they are designed for children above 12 or 13 years old. With adult supervision, a children eight years old could operate one.
Indoor RC airplanes do not exist due to regulations. As you might note, manufacturers are required to list the age range of the toys and specify that they are to be used outdoors.
Some gas powered remote control airplanes are suitable for six or seven year old children, however, many rc airplanes are advisable for ages eight and up.
Most rc foam planes have motors or remote controls, so they are not entirely safe for toddlers. These planes are marketed toward an older crowd, so more durable toy planes would be a better fit for such a young child. http://www.rcfoamcrafters.com/
Judging from the sound of "Foam," I think they may be safe to fly in most places, but I would suggest not to fly in crowded or urban places. Rather, go to a park or fly in large, open spaces.
RC gliders are awesome remote controlled airplanes. They can be extremely difficult to fly properly and for this reason they are often found in the hands of collectors and children alike. Young boys will have them to play with, and older men will hold on to the airplanes as a memory.
Remote controlled sailboats are safe for children; however, adult supervision is recommended nonetheless. Some rc sailboats do have small moving parts, so these are not recommended for children under the age of three.
You can get the cheapest carbon fiber rods for RC foam planes at rcfoam.com.
I don't really know anything about rc airplanes, but there is lots of information online or in catalogs. Here's a link to an rc apriplane dealer: http://www.hobbytron.com/RCAirplanes.html