Possible to have a tour to Hong Kong ?

Mahbub, the L type doesn’t allow you to travel to HK because the exit and entry policies in mainland PRC and HK are different.
You should apply for another visit entry permit to go to HK at the Beijing Office of HK SAR government. First, prepare the required documents including copy of your passport, the application form, a passport-style photo taken recently, transportation arrangement and your travel itinerary to HK. Next, submit the application to Beijing Office to apply for it.