Will I be able to drain a pilonidal cyst at home?

ABSOLUTELY NOT. In case of an infected pilonidal cyst, get thee to a doctor or urgent care center. To attempt an i & d (incision and drainage) by yourself is foolish and dangerous. Good luck.
NOT RECOMMENDED. These cysts can be complcated and appropriate treatment are needed under supervision of a physician. If you have significant pain, fever or generally not feeling well you need to seek attention as soon as possible.
See a surgeon. The infection with pilonidal disease does not come from the outside/skin. Those measures, while may intuitively make sense, will not prevent recurrence.