You can use WMI or other tools for this since there is no Remove-Service cmdlet until Powershell 6.0 (See Remove-Service doc)
For example:
$service = Get-WmiObject -Class Win32_Service -Filter "Name="servicename""
$service.delete()
Or with the sc.exe tool:
sc.exe delete ServiceName
Finally, if you do have access to PowerShell 6.0:
Remove-Service -Name ServiceName