HCl + H2O <-->>> Cl- + H3O+
HCl + Br- <<<--> Cl- + HBr
HCl + Br- + H2O <-->>> Cl- + Br- + H3O+
No, Vesp. Electonegativity is simply a measure of electron affinity - and all the electrons have already been taken from the sodium atoms and hydrogen atoms and given to the the halides. (We are working with ionic bonding.) Strong acids completely dissociate in soln, and you have, at this point, a mixture of ions floating around in solution. You can imagine the proton jumping from a water molecule to a bromide to a chloride. The proton will want to sit around where the situation is most favorable, i.e., where the conjugate acid is the weakest. So the order is H2O > Br- > Cl-. Since we are dealing with an equilibrium, you can manipulate it in a variety of ways. If you can find a way to remove the chloride ions from the solution, then you have a shot at isolating the hydrobromic acid. As it stands, from a practical point of view, there is no way to achieve this isolation.
Why would an atom with a high electroNEGATIVity (it wants electons) be attracted to a POSITIVe ion?
Chlorine is a stronger oxidizer than bromine due to the difference in electronegativity, but that is a completely different topic.