Can a motion to dismiss a criminal case be dismissed under section 1387, subdivision (a) of the California Criminal Code?

Defendant moved to dismiss case No. 05CF2562 under section 1387, subdivision (a), which reads in relevant part, as follows: "An order terminating an action pursuant to this chapter, or Section 859b, 861, 871, or 995, is a bar to any other prosecution for the same offense if it is a felony or if it is a misdemeanor charged together with a felony and the action has been previously terminated pursuant to this chapter, or Section 859b, 861, 871, or 995 . . . ." This section is sometimes referred to as the "`two-dismissal rule.'" (Miller v. Superior Court (2002) 101 Cal.App.4th 728, 739.) "Two dismissals of a felony action bars further prosecution, except in certain specified circumstances." (Ibid.)