No. Daytime running light can be disabled without affecting turn signals.
There's a turn signal or running light out on that side, either front or rear. Turn on signal, get out and look. If both turn signals are working, chances are its the running light.
As long as the engine is running you will have power assisted steering. With the engine not running you will not have power assist and it will be hard to turn but turn-able. If the engine is overheating it would be wise to pull over and park when safe to do so and shut off the engine before expensive damage is done to the engine.
hazards and turn signals have separate flashers. replace flasher for turn signals
Faulty light bulbs, damaged engine.
Yhese are fed from different sorces so I would check the groiunds on the lights.
Check/replace turn signal flasher
If the turn signals and emergency signals don't workout sounds like an electrical problem's would suggest that you take it into the closest shop to get the problem diagnosed properly.
If you are parked with the motor running, engage the parking/emergency brake. Turn the ignition off and restart the engine. The daytime running lights should not be on.
this happened on me, it turned out to be the earth strap from the engine to the chassis had gone rotten and broke loose, this stopped the engine from running but it would still turn over
Check the bulbs they are double filamented with the smaller for stop and turn signals
turn on your ac and see if it comes on then