Hi Eryck,
Weird.
That's not normal.
Pusching the turnsignal lever towards the steering column should activate only the wipers, nothing more.
Washer pump to be activated by pressing the lever forward - as indicated in the Owner's Manual.
If both engage whilst switching only one function, most likely the wiper-engaging mechanism (or electrical mechanism) in the base of the wiper stalk is malfunctioning. Can be disassembled and checked.
Or - if you have - try another wiper and indicator switch. Then you know for sure.
Good luck!
Achim