Probably. Just from what I've seen on my own sites and logs, I suspect that sometimes it takes more than a day for clicks to be recorded. Google has never confirmed this, and I haven't bothered to try to prove it definitively, but I believe it's true.

Might be clicks from a cached page as well?

Yes, that might happen. 6 months ago I set up 3 channels for 3 ips used for cache by Google. Interestingly, I have made several dollars on these channels. I believe that if my sever had been down more often, I would have earned much more as most people seem to be aware of cached version.

What percentage do those clicks make up for your normal click count?

Of course, the point about clicks coming from previous days is relevant too.

Another thing to consider is whether your server, your own location, and Google are in the same time zone. When you say that your server crashes 10 hours before the end of the day, do you mean 10 hours before midnight UTC/GMT, midnight local time, or midnight Google time (PST or PDT)?

My server isn't in same time zone, in topic i use google Time, but is a european server, is not relevant, because in this case i only use time to tell server down 10 hours before end of the day (GG) and up 7 hours in next day (GG).My time zone is 10PM to 3PM in the next day.

but for adsense time 00:00 is 8 AM (local server time).

Number of clicks, only a few clicks compared to normal.

Last week I saw an 'adsense pageview' on a domain which has been 301ed for 2 years.
Caching can hold for a very long time!

Yet another bit that I believe supports the cache version.

Thanks to the insulting low performance I decided to remove AS from a site for a week (protest! <g>). This site has about 10K page impressions/day. During the removal period AS reported some 200-400 PI-s/day and a couple of clicks and some revenue. During this period the CTR was about 25% of the site's then average rate.