Yes, smart meters went through testing and are covered by strict EU and UK safety laws. Public Health England have conducted an independent assessment and have issued a statement confirming there is no risk. Please see the link below for more information:

https://www.gov.uk/government/publications/smart-meters-radio-waves-and-health/smart-meters-radio-waves-and-health#:~:text=Smart%20meters%20use%20radio%20waves,pose%20a%20risk%20to%20health