I have read 3 different explanations for why sultan Bayezid II banned the printing press.
Given the highly absolutist and extractive Ottoman institutions, the sultan's hostility to the printing press is easy to understand. Books spread ideas and make the population much harder to control. Some of these ideas may be valuable new ways to increase economic growth, but others may be subversive and challenge the existing political and social status quo. Books also undermine the power of those who control oral knowledge, since they make that knowledge readily available to anyone who can master literacy. This threatened to undermine the existing status quo, where knowledge was controlled by the elites. The Ottoman sultans and religious establishment feared the creative destruction that would result. Their solution was to forbid printing." -Why Nations Fall
That Arabic script was incredibly difficult to print in, due to the connecting letters. This is mostly assumption based on the history of the printing press in Egypt.
Their was a given reason I can not remember the source that Sultan Bayezid II, who was known to focus on internal stability, not only introduced the printing press, mainly due to the fall of Granada, but also later banned it on request of the Muslim clergy, however he only banned it in arabic type, printing in the OE was still allowed in other languages, and indeed did occur. Sultan Ahmed III, reallowed the printing press, but still kept a ban on religious texts.