Some vibration is normal. If the pump espresso maker is vibrating too much, please check the feet on the bottom are intact as these dampen the vibration. If feet are damaged or missing, placing a tea towel beneath the machine will dampen the vibration until the problem can be rectified.
If this is on first use, and no water is coming out of the boiler head you may have an air block, and to resolve this you should open the steam arm until water starts to flow through the steam arm for at least 30 seconds. Older machines may require a descale. If none of these suggestions has rectified the problem please take the machine to your nearest service agent.