Can connect the Diode IN4007 for rectification with 240V AC directly without any resistor

Average Rectified Output Current should not one ampere.

Yes.
Because it's PIV (Peak Inverse Voltage) 1000V. (700Vrms)
Besides, it's generally a bad practice to put resistors in rectifier circuits. It's better to control the DC output of the rectifier. Just make sure the diodes are able to handle the current and heat dissipation requirements.

Yes, it is "possible", but it depends on what you are using it for whether one may or may not be required.