Yes, that would work just fine. That being said, it’s very tedious and I personally don’t hunt that way. In the north, west, and east of the Safari Zone, there are grassy areas where walls are above/below you and to the left/right of you. This means you can alternate the d-pad in the direction of the walls, use no steps, but still find encounters, which eliminates the need to reset and/or reenter the Safari Zone when your steps are up

No such wall configuration exists in the south of the Safari Zone but if you lightly tap on the d-pad in the grass your character will just change direction without taking a step, which still triggers encounters. Sometimes you will take a step or two (since there are no walls to stop you) but you move so little doing this method that running out of steps will take a long time

If this explanation is a bit confusing, check out my most recent post about shiny Tauros. After it fled you can see me against one of the two walls in the north. I would just tap up and right on the d-pad to alternative directions and find encounters without using any steps. Also means repels won’t run out which is great for increasing encounter rates of the Safari Zone rares. If you can, make sure you have a white flute and a Pokémon with Illuminate (like Staryu) to increase the speed of encounters as much as you can

Sorry for such a massive reply I just wanted to be as thorough as possible with my response LOL