Is it possible to go from Normany to Bruge without going to Paris and Brussels and changing trains twice?
Sorry, no direct train service. You will also have to use two different stations when in Paris. Trains from that region go to Paris St Lazare, but trains from Paris to Bruges use Paris Nord. Thalys has only one direct train a day to Bruges . It departs Paris Nord at 18:25. All others trains change at either Lille or Brussels.
If you have a car in Normandy--which would be a very good idea, though not essential if you are just going to see the beaches--you can drive it to Lille and catch the train there.
That train takes about an hour and a half and bypasses Brussels.