Yes, but only if there is total participation on 1-side too. If many-side is totally participating and 1- side is partially participating, then your composite primary key (A1, B1) will have NULL values in B1 field for some of the entries and violate the condition of primary key’s prime attributes not being NULL. Hence, we require 2 tables to represent the ER model if there’s partial participation on 1-side and total participation on many-side.
On the other hand, if both sides are totally participating, then a single table with (A1, B1) as the primary key will do.