Hello and welcome to JustAnswer. Please note:This is general information for educational purposes only and is not legal advice. No specific course of action is proposed herein, and no attorney-client relationship or privilege is formed by speaking to an expert on this site. By continuing, you confirm that you understand and agree to these terms.
The answer is yes. A recorded call is admissible under something known as "hearsay exceptions immaterial of availability" because it falls under the following under NM Rules of Evidence RULE 11-803:
(1) Present Sense Impression. A statement describing or explaining an event or condition, made while or immediately after the declarant perceived it;
(2) Excited Utterance. A statement relating to a startling event or condition, made while the declarant was under the stress or excitement that it caused;
(3) Then-Existing Mental, Emotional, or Physical Condition. A statement of the declarant's then-existing state of mind (such as motive, intent, or plan) or emotional, sensory, or physical condition (such as mental feeling, pain, or bodily health), but not including a statement of memory or belief to prove the fact remembered or believed unless it relates to the validity or terms of the declarant's will.
And other exceptions. So yes, such a call recording is generally possible to introduce in Court.
I hope this helps and clarifies. Please use the SEND or REPLY button to keep chatting, or please RATE when finished. You may always ask follow ups at no charge after rating. Kindly rate my answer as one of TOP THREE FACES/STARS and then SUBMIT, as this is how experts get credit for our time. Rating my answer the bottom two faces/stars (or failing to submit the rating) does not give me credit and reflects poorly on me, even if my answer is correct. I work very hard to formulate an informative and honest answer for you; please reciprocate my good faith with a positive rating.