No, and the charcoal filters can't do much if the tent is left open. Charcoal mainly reduces odor. A downside is they reduce the air flow or make the fan work harder.
I'm talking about conditioning the air in the lung room. We use a spare bedroom for our growing. There are three tents and five plants in there now. I use organic nutrients.
We were having trouble with sinus headaches, so I used an old 20" box fan and some duct tape and attached a 20" filter I bought at a hardware store. There are a wide range of filter capabilities graded on what's known as the MERV scale. My filter is at level 11, which can filter out pollen and spores. I cycle it on and off every 15 minutes using a port on a tent controller. Actually, I use the controller to control the environment in the lung room, including exhaust to the outside and the heat. There are humidifiers in the tents.
This is my first grow with me paying this much attention to the environment in the lung room. Previously, the tents were in separate rooms. So now, like you, I have a dedicated grow space. It has taken some time and some thought to get it dialed in (and it's still a work in progress). Of course, the weather affects the room environment, creating additional challenges--and increasing the benefits of using a controller for the room. We just had an atmospheric river that brought heavy rains and flooding in the area. So, it's very humid and a very hospitable environment for mold. My DIY filter does a surprisingly good job of removing contaminants in the air.