In general insulation should reduce condensation problems rather than make them worse.
There is the odd complication that can arise if you don't get full coverage of insulation - then you may find the remaining cold spots attract even more. You can also probably find old horror storeys from problems arising from some liquid setting foam insulators that were used in the past. The same issues don't seem to crop up with blown fibre or poly bead systems.
If you have a penetrating damp issue, you may find that insulation can help water track the cavity (the poly bead type being less likely to do this I would expect)