Yes and no, in a sense.
There are Muslim Masons; I used to know one. (He was Iranian, no less.)
That said, fundamentalist Islam does not consider Freemasonry acceptable, any more than (and for the same basic reasons as) strict Catholicism. The Iranian Masonic lodges were suppressed or disbanded following the rise of Khomeini, though I seem to recall that some of them exist “in exile” in other countries.
Traditional Catholic, and for that matter conservative Protestant and Orthodox, opposition to Freemasonry is based upon the universalist implications of the movement, more so in the Grand Orient Lodge of France and its affiliates in Europe and Latin America than in Anglo-American Masonic lodges. These implications are that people can be justified by their good works, which would indicate no need for a Savior. Additionally, anticlericalism in historically Catholic nations like France, Italy, Spain, and Mexico was associated with Masons.
Islam is also a "good works" religion, so opposition to Grand Orient Masonic universalism would not be an issue.
Remember, many Iranians are not Arabs. Many are Caucasian.