Yes, under Section 110 you can be arrested for any offence.
The related issues is that with elastic common law offences plus thousands of statutory offences (over 3000 introduced under New Labour), even the most innocent unavoidably commit several offences every day.
The result is that the police can arrest and detain anyone (even Conservative Front benchers, it would seem) whenever they feel like it. The only liberty we cling to is that for most of us for most of the time they leave us alone.
The police are not today our servants; they are our masters to whom we must bow our heads or avert our gaze when we pass them. To keep our freedom we must obey their commands whenever we are unfortunate enough to encounter them.