Our 6 month old kitten is a right pest at the moment. Jumping on us when we're trying to eat, scratching at the doors at night and in the morning (even if they're open) and generally fannying about at 6am.
We can tire her out so that she goes to sleep when we do but the scratching at the doors is annoying. It's not that she wants to come in she just likes scratching them. I'm probably going to start putting the scratching post at the door. It's either that or trap her in the dining room at night and then let her out in the morning.
She might be stressed - has something changed in the household recently? Do you have another cat?
If not, just as with dogs, you need to ensure there are rules in the house. If she's been indulged at mealtimes as a tiny kitten (always easy to do!) she will continue to cause trouble now she's bigger. It's not too late so start enforcing consistent rules on behaviour with the stern 'No' word and putting her firmly down on the floor. Cats don't much like being stared at, so I have always given the transgressors a hard stare as well as the No - just for second.
This has to be from all in the household and consistently. No giving in when you get the wide-eyed 'Puss-in-Boots' begging look.
Cats are trainable but they will take advantage of any and all lapses of consistency, as well as playing you emotionally if they can.
If stressed, look into fitting some Feliway pheromone dispensers. That helps spread a scent of ease and all is right with the word (in cat senses).