No, and reaching for the bleach bottle usually makes things worse. Chlorine cannot penetrate drywall, wood, or grout to reach the roots inside the material, but the water in the bleach solution soaks right in, and mold drinks it. The patch looks clean for a few weeks, then returns, fed by the moisture you just added. Worse, scrubbing the colony releases live spores into the air while you stand over it breathing bleach fumes in an enclosed room. You get the health exposure and keep the mold.
If bleach worked on real mold problems, mold remediation would not exist as a trade. Black mold needs to be handled under containment by trained technicians: contaminated material removed safely, salvageable surfaces treated with proper anti-microbial products, air scrubbed with HEPA filtration, and the moisture source fixed so the colony cannot restart. When a patch keeps coming back after cleaning, that is your confirmation it was never a surface problem. Nonstop Restoration inspects for free in Calgary, Airdrie, Chestermere, Strathmore, Okotoks, and Canmore: (403) 620-8489.