Can arduino uno handle this ?
Yes, that's only ~91 million ~2 billion seconds so a 32-bit variable will hold that easily.
i could turn off and turn on without loosing count.
Save the counter in EEPROM, either every second (I assume this isn't really going to run for 70 years, you may need to do some, wear levelling) or just before you shut down.
But you don't need it to keep counting while turned off do you? It can start form where it left off.
Rob