Not really. A regular incandescent bulb runs at about 2,500° C, but close enough. The heat from the filament, though, is almost exclusively transferred to the environment by radiation alone. There is virtually no conduction because there's only a very small physical connection between it and the rest of the bulb. Even so, they're obviously too hot to handle when running.
In addition, that high temperature would quickly disperse in a greater volume of space by the inverse square law.