No. Network, account and local appliance operation are separate observations. The hob's own display is the first reference for a cooking fault.
What the observation means
Remote features may also have permissions and restrictions even when Wi-Fi works. Do not expect an app connection to override a safety state.
A useful next step
Follow the manufacturer's connectivity guidance if local controls remain normal. If local operation also fails, record the actual hob message. Do not issue remote test commands to equipment with damaged glass, overheating or another unresolved safety concern.
Manuals and supporting guidance
Model-specific instructions take priority. These references support the practical principles discussed here; they do not diagnose your appliance.