Depending on the particular HOB being used and the tightness of the coupling between the UG riser of the HOB intake, it should work.
However, I question the reasoning behind the effort to have it work. In general, having two filters in series (that is, one - the UG - feeding the other -the HOB) driven by a single motor is less effective than having the same two filters in parallel (each filter operating independently). The sum of the two is almost certain in practice be less than the sum of the parts, the total may in fact be less than either of the components individually.
Is there some over-riding reason for this coupling of two filters? If not, I would not do it myself.