Of course.
I agree with the advice that Professor Heard just gave, including the last point that you certainly need to have a limited number of initial points of contact in order to be able to keep a record of all complaints in relation to a particular individual. It may be that in many cases the issue can be resolved through mediation completely confidentially and in a way that results in an apology or some limited measure of discipline.
However, if a formal investigation is needed, I think you do want to have that done by someone with external expertise with a significant amount of gravitas, whether that's a retired judge or experts who regularly investigate these kinds of complaints. I think you do want to have an appeal process available as well and to ensure that the appeal panel is chosen with input from both the complainant and the respondent, and that it includes people with sufficient sensitivity to the special nature of the House of Commons.