one ultrasonic-sensor-HU-SRF05 and two chip Atmega328

That Arduino, various can connect more sensors to that we know in the meantime.

My question:
Can one ultrasonic-sensor-HU-SRF05 be connect on two Arduino UNO, or can the sensor not send the information to both chips?

Can one ultrasonic-sensor-HU-SRF05 be connect on two Arduino UNO,

No.

Please describe what you're trying to achieve. What you describe doesn't make sense, so you probably chose the wrong way.