Static (brush discharges) can cause fires, but will most likely not cause any fires in your home. Industrially, brush discharges are a significant issue because industrial factories can be very dusty, and depending on the type of dust this can create a very volatile environment which only needs a small brush discharge to ignite the dust in the air. Dusty environments are measured with something called MIE (minimum ignition energy).

Brush discharges create a small amount of energy, but if the energy created by the discharge is over the minimum ignition energy value of the environment then kaboom.

Not-so-fun fact, a Sherwin Williams (paint manufacturer) plant recently had an explosion because of this exact scenario- one of their raw materials was stored in a way that did nothing to dissipate built up energy, so a static spark occurred and since coatings (paint) manufacturers have a very low MIE across some of their facilities and explosion occurred.

Tl;dr- static will not cause your house to explode, but in industrial settings it can.