I need to send infrared light from its emitter to a distance of about 10-12 feet. Is this possible?
Yes it's possible.
It will depend on the strength (intensity) of the infrared light being emitted and the sensitivity of the receiver or detector, but a range of 10 ft is well within the range of most TV remote controls for example.
In 1917 the
This is just detecting the presence of infrared radiation rather than sending a single, but it shows that the range of several km isn't a problem.