Is there a way to get the remaining call limit at any time without making a call for other data first and getting the response?
Unfortunately not at this time, rate limit status is exposed in response x-headers.
Developer Groups, Site Quotas, and Rate Limits
I wanted to check my X-remaining-limit at the end of a process but without posting a get
The response for the request that kicks off the process, or the last request response in the process will contain the information you are looking for - no need to make additional requests.
All responses, with the exception of token request responses, contain the x-header information, not only GETs.
When I call to get the token I do not get the X-Header Info?
Token requests are the exception to the rule as the limit is calculated upfront based on your identifying bearer token.
I will clarify in my above response.
Retrieving data ...