I agree with Sour Grapes -- technically it's possible to bottle at 7 days, but the bottles will have chunks in them. It takes longer than a week for the wine to ferment and clear.
Following is a rough guide for wine kit making, based upon the brands I've made. This is not an all-inclusive list, but is designed to help you make sense of the process. Compare this list to your kit instructions and make notes.
If anything is unclear, post new questions.
1. Start the kit according to instructions. Fermentation will generally start within 8 to 48 hours. Yeast is a living thing and will react to its conditions, so all time tables are approximate.
2. Fermentation will normally take between 4 and 10 days. Stir the must daily with a sanitized stirring implement. If there are solids on top, push them down during the stirring.
Sanitizing solution: Stir 3 Tbsp potassium metabisulfite into 1 gallon/4 liters water and keep in a capped jug. This is reusable as long as it stinks and it clear. Never sniff deeply -- you'll cough & choke. Use in a ventilated area; I run a small fan to blow the fumes away.
There is no need to rinse equipment afterward -- just shake off the excess. You're going to put sulfite in the wine, anyway.
3. Rack the wine when the SG is between 1.000 and 1.010. Put it in a sanitized carboy and any extra wine into smaller bottle(s). Since the fermentation is still active, leave a few extra inches of air space to avoid bubbling over the container. CO2 is being released from the wine (hence the bubbling) so air is not a problem at this time.
Note: I have done a first racking when the wine was at 1.020, but prefer it below 1.010. Some folks let the wine ferment completely dry before racking -- I don't like leaving the wine in an open container once fermentation is complete. The wine has a CO2 cushion on top and a day or two should be fine, so this is a personal prejudice on my part.
4. Let the wine set another 5 to 7 days. At this point fermentation should be complete and a fair amount of sediment may have dropped. Check the SG -- if the SG is at or below the level indicated in the instructions, fermentation should be done. Generally reds will be 0.996 or lower, and whites will be 0.998 or lower.
If you're not sure fermentation is complete -- re-read Bernard's advice above, where he goes into detail on determining fermentation is complete.
5. If fermentation is complete, rack the wine, leaving the sediment behind. After the racking, most kits say to stir vigorously. This drives off most of the CO2 -- with CO2 in the wine, it will not clear properly.
Note: I stirred my grape wines last fall -- they cleared in record time.
6. At this point, most kits call for adding sulfite & sorbate, and a fining/clearing agent (typically chitosan & kieselsol). The instructions may call for adding a F-pack/sweetening pack. Use the sequence of actions indicated in the instructions -- these vary a bit from vendor to vendor, and sometimes by kit level.
Rack the wine back into the carboy. This time fill the carboy within a couple inches from the bottom of the stopper. Place any excess in a bottle just big enough to contain it. [It's common to have several smaller bottles.] All containers should have an airlock.
Note: If you do not have enough wine to top up a container, add enough of a similar wine to eliminate the air space. commercial wine is perfectly acceptable.
7. The fining agents work quickly so you'll see a lot of sediment drop within a few days. After a few days, give the carboy a sharp sideways twist to dislodge sediment sticking to the sides. I normally do this twice.
8. You'll see the sediment compact a bit after 5 to 10 to days (this depends on the yeast variety, fining agent, and the wine itself). Rack again to eliminate the sediment. Typically the wine is clear and will drop little or no sediment after this.
9. Age in a carboy according to the kit instructions, or longer if you desire.
If you are satisfied with the wine, bottle it. If you are tweaking the wine, e.g., adding oak cubes to alter the flavor, then age longer in bulk before bottling. Whatever you decide is the right answer.
I tried to be as clear as possible and not use jargon that will be unfamiliar. While the above instructions may seem long, once you've done it a few times, it all makes sense.