Can basal cell cancer be infectious?

No transmission. Basal cells (and other cancers) are never infectious in terms of being spread from person to person. There is no risk of transmitting the cancer from one person to another. However, if you are around a weeping or bloody wound of any kind you should always wear gloves. The cancer may not be infectious, but other viruses and diseases can be spread.
No! Basal cell carcinoma (bcc) is a type of skin cancer involving the basal layer of the upper layer of skin. It is the most common type of skin cancer. If the lesion has ulcerated there is a risk of it becoming infected, but in no way is this or any type of skin cancer infectious. Bccs are caused by genetic damage that occurs from ultraviolet radiation, smoking also increases the risk for bccs.
No. If it ulcerates it could become secondarily infected but only of extensive and deep.