No. A product intended for hand washing at a sink can have unsuitable foaming behaviour in a dishwasher. Even a small guessed amount is not a reliable equivalent.
Understanding this situation
The appliance's wash and water-management process assumes a suitable machine product. Excess foam can complicate operation and may be accompanied by leakage, which must be treated safely.
A useful next step
Wait for appropriate detergent rather than improvising. If the wrong product was used, stop adding chemicals and consult the model's guidance. Keep away from wet electrical areas and explain the actual product and amount when seeking help.
Manuals and supporting guidance
Model-specific instructions take priority. These references support the practical principles discussed here; they do not diagnose your appliance.