Question

CAN GENES BE TRANSCRIBED CONTINUOUSLY WITHOUT REGULATORY CONTROL?

Answer 1

Yes, genes can be transcribed continuously without regulatory control, however this is not a normal process and is seen in many types of cancer including some leukemias and lymphomas.

Answer 2

How about non-tumor related processes. Using cancer is a good example in many molecular biology studies, but cancer cells do not start with deregulation of transcription. Transcription factor therapy, however, is making a buzz in the field of oncology.
Ref: http://www.cell.com/trends/cancer/pdf/S2405-8033(15)00002-3.pdf

Primarily, what would cause cancer starts from mutability that renders replication errors due to tautomerization, spontaneous damage from natural (including radiation) and chemical that breaks or alteration of bases and transposons. These processes however do not all contribute to cancer since there are mechanisms that check and repair when such potentially problematic events occur or sometimes they increase adaptability for species.
Ref: http://journals.plos.org/plosgenetics/article?id=10.1371/journal.pgen.1000208

I think labels such as abnormal and normal processes tend to mislead people. What might be normal for particular species might not be so for others and also remember constitutive and facultative. Ref: http://www.nature.com/scitable/topic/gene-expression-and-regulation-15

The answer to the question is yes, but it is much more complex than using tumor cells and is not a black and white normal versus abnormal processes.