Does a low level trigger relay module send much current to GND/GPIO LOW
Figure 1. A similar board schematic. Source: ElecFreaks.


The relay is switche by a transistor.
The transistor is switched by an opto-coupler.
The opto-coupler is switched by your micro-controller.
There is a 1k resistor in series with the LED and opto-LED so current is limited to a few mA. (Your board doesn't seem to feature the LED.)


These are designed to be driven from micro-controller GPIO pins so you will be fine.

Note that you need to connect Vcc to your 5 V supply - not to the GPIO.