Hi Peeyush, 

Not recommended as the SLAs were running based on the conditions from the previous HR Service record and bringing over the record will not add any benefit but would rather affect the reporting on your HR cases. You still can do this by updating the canceled SLA records against the previous HR case number's task attribute to the new HR case number. 

Now if the requirement is tweaked to say show how much time has been spent on the previous record, you can set the retroactive attribute to yes on any field that is copied over from the created timestamp from the previous record to the new one on your SLA definitions.

Thanks, 
Harneet