Prophet Muhammad can writing

Narrated 'Ubaidullah bin `Abdullah:

Ibn `Abbas said, "When the ailment of the Prophet became worse, he said, 'Bring for me (writing) paper and I will write for you a statement after which you will not go astray.' But `Umar said, 'The Prophet is seriously ill, and we have got Allah's Book with us and that is sufficient for us.' But the companions of the Prophet
differed about this and there was a hue and cry. On that the Prophet said to them, 'Go away (and leave me alone). It is not right that you should quarrel in front of me." Ibn `Abbas came out saying, "It was most
unfortunate (a great disaster) that Allah's Messenger was prevented from writing that statement for them because of their disagreement and noise. (Note: It is apparent from this Hadith that Ibn `Abbas had witnessed the event and came out saying this statement. The truth is not so, for Ibn `Abbas used to say this statement on narrating the Hadith and he had not witnessed the event personally. See Fath Al-Bari Vol. 1, p.220 footnote.) (See Hadith No. 228, Vol. 4).

Telah menceritakan kepada kami Yahya bin Sulaiman berkata, telah menceritakan kepadaku Ibnu Wahhab berkata, telah mengabarkan kepadaku Yunus dari Ibnu Syihab dari 'Ubaidullah bin 'Abdullah dari Ibnu 'Abbas berkata, "Ketika Nabi shallallahu 'alaihi wasallam bertambah parah sakitnya, beliau bersabda: "Berikan aku surat biar aku tuliskan sesuatu untuk kalian sehingga kalian tidak akan sesat setelahku." Umar berkata, "Sesungguhnya Nabi shallallahu 'alaihi wasallam semakin berat sakitnya dan di sisi kami ada Kitabullah, yang cukup buat kami. Kemudian orang-orang berselisih dan timbul suara gaduh, maka Nabi shallallahu 'alaihi wasallam bersabda: "Pergilah kalian menjauh dariku, tidak pantas terjadi perdebatan di hadapanku." Maka Ibnu 'Abbas keluar seraya berkata, "Ini adalah musibah, dan sungguh segala musibah tidak boleh terjadi di hadapan Rasulullah shallallahu 'alaihi wasallam dan Al Qur'an."

Reference : Sahih al-Bukhari 114
In-book reference : Book 3, Hadith 56
USC-MSA web (English) reference : Vol. 1, Book 3, Hadith 114
(deprecated numbering scheme)

Source of Hadith : http://sunnah.com/bukhari/3