That's definitely the intended meaning of wearing a cross, and a really powerful and important scripture.
It's worth remembering though that 'cross' isn't the word that Jesus said here but the Greek word recorded is stau·rosʹ which means execution or torture stake and the cross wasn't a contemporary use for impailment by the Romans, primarily because a stake was a much more painful death than a cross.
The cross was a pagan idol for many centuries before Jesus death and was later rolled into the account of Jesus' death by the later Christian Church to help with the conversion of those pagans.
That's definitely the intended meaning of wearing a cross, and a really powerful and important scripture.
It's worth remembering though that 'cross' isn't the word that Jesus said here but the Greek word recorded is stau·rosʹ which means execution or torture stake and the cross wasn't a contemporary use for impailment by the Romans, primarily because a stake was a much more painful death than a cross.
The cross was a pagan idol for many centuries before Jesus death and was later rolled into the account of Jesus' death by the later Christian Church to help with the conversion of those pagans.