Is the month of Safar unlucky?

Wednesday is not unlucky

This is true that one day is better than others and one period of time is better than others, but considering other days/months, etc. as without blessings (Barakah) and unlucky is not correct at all.  As far as Wednesday is concerned, its excellence is mentioned in the rigorously-authenticated Hadith (Sahih Hadith).  There is a Hadith in Sahih Muslim on the authority of Hadhrat Abu Hurairah (May Allah be well pleased with him):

Translation:  The Holy Prophet (Sallallahu alaihi wa sallam) said: ………..and Allah Ta'ala created Noor on Wednesday.  (Sahih Muslim, Vol. 2, Pg No. 371, Hadith No. 7231; Musnad Imam Ahmed bin Hambal, Hadith No. 8563; Sunan Kubra Lil Baihaqui, Vol. 9, Pg. No. 3; Sunan Kubra Lin Nasai, Hadith No. 11010; Mojam Al Ausat Lit Tabarani, Hadith No. 3360)

This Hadith shows that Wednesday is that blessed day in which Almighty Allah created Noor (radiance).  Thus, this belief that no important work should be done on this day is wrong.  Doing anything important on this day will, by the will of Almighty Allah, be blessed.

Imam Sakhawi writes in Maqasid Hasanah:

Translation: It is mentioned on the authority of Burhan Ul Islam from his book “Ta’aleem Al Muta’allim” who narrates that his famous teacher, the author of Hidayah, ‘Allama Marghinani (May Allah shower His mercy on him), would start a new lesson on Wednesday and would relate a Hadith in this respect that the Holy Prophet (Sallallahu alaihi wa sallam) said:  Whatever is begun on Wednesday will come to fruition.  (Maqasid Ul Hasanah, Harf Ul Meem)

For this reason, in the world famous Islamic university Jamia Nizamia, Hyderabad, lessons are begun on Wednesday.