Yes, there is a difference. In ISO 13485:2016, requirement 7.5.4 Servicing activities are repair and/or preventative or routine maintenance of one or more parts in a finished device, after distribution, for purposes of returning it to the safety and performance specifications.
According to Section 710(c) of FDARA, FDA differentiates the following terms: refurbishing, reconditioning, rebuilding, remarketing, repairing, remanufacturing, or other servicing of the device. Those definitions you can find in the following document: FDA Report on the Quality, Safety, and Effectiveness of Servicing of Medical Devices https://www.fda.gov/media/113431/download
More information on service provision you can find in the following article:
This means that service activities can be provided by your supplier, and service activities can be outsourced to some other company. Then, of course, with this outsourcing, the company must be managed as described in 4.1.5.