N.M. Stat. § 42-9-34
[Appeal before final judgment.]
It shall not be necessary that a final judgment as to the indebtedness claimed by the
plaintiff in attachment shall be rendered, before the questions arising on the attachment
proceedings may be reviewed on appeal or writ of error, but such appeal or writ of error
may be sued out either before or after rendition of judgment on the indebtedness sued
for.