No; the concern for washing one's hands immediately upon rising does not override the prohibition against delaying using the bathroom (Mishna Berura, 1:2).
The Chida holds that one should pause after each four Amot so as not to walk more than four Amot continuously without washing his hands; this is the Halacha for the Sepharadim. The Mishna Berura (1:2), however, cites the Sha'arei Teshuva as disputing this Halacha, arguing that one should preferably go to wash his hands as quickly as possible, rather than pause after every four Amot.
He should wash his hands with whatever water he does have, or at least wipe his hands on a cloth or wooden surface; he should not refrain from Torah study as a result of the unavailability of water (Mishna Berura, end of 1:2).
An average person should preferably not perform Mitzvot in the presence of those much greater than him, so as not to appear arrogant and disrespectful; if he must, however, he may perform the given Mitzva even in their presence and should not be ashamed. In the presence of people of average stature, however, one should endeavor to perform Mitzvot publicly, so that they will learn from his example. One must ensure, however, not to do so for the purpose of boasting. (Mishna Berura, 1:6)
The Mishna Berura (1:9) rules that Tikun Chatzot should be recited before Chatzot (midnight as defined by Halacha), but Sepharadim follow the view of the Kabbalists, that it should be recited either at Chatzot or just after Chatzot.
To recall the merit of our patriarchs each day, and so that one will be inspired to dedicate himself to the service of G-d, just as Yitzchak was prepared to sacrifice his life for G-d (Mishna Berura, 1:13).
To recall that one's sustenance depends on G-d, and additional exertion in working for a livelihood will be of no avail without divine assistance, just as in the wilderness all of Benei Yisrael ultimately received the same amount of Manna, regardless of how much they collected (Mishna Berura, 1:13).
The Mishna Berura (1:16) discourages the practice, as it gives the impression of lending credence to the heretical claim that the Torah demands adherence to only these ten laws, and not to all 613 Mitzvot. However, Halacha Berura brings Poskim who permit and even encourage this practice, in light of Rav Sa'adya Gaon's comment that all 613 commandments are included under the Ten Commandments.
Chacham Ben Tzion Abba Shaul ruled that it is preferable to recite Tikun Chatzot, even if as a result one will be unable to recite Shacharit at sunrise.
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