TL;DR: It would seem to depend on whether one is of the opinion that gilu’ach ("shaving") & hashchasah ("destroying the hair") are prohibited regardless of the device used (ie scissors would be forbidden)
OR whether one is of the opinion gilu’ach & hashchasah ONLY applies to a razor (ie scissors would be permitted).
There's a great OUKosher article titled "May electric shavers be used to shave one’s beard?" which addresses your question, by first understanding the nature of the prohibition:
a) Shavers/ scissors are PROHIBITED
There are many Gedolei HaPoskim, past and present, who have declared that shavers are prohibited in the same manner as razors [this article says the Chofetz Chaim was of this opinion]. The reason for this view is that the Torah does not prohibit a particular shaving device, but rather prohibits the act of shaving ("gilu’ach") and destroying the hair ("hashchasah").
b) Shavers/ scissors are ALLOWED
The other view amongst the Poskim maintains that only the gilu’ach and hashchasah of a razor is prohibited by the Torah. They understand that Chazal identified the razor as the only tool to which the prohibition applies. According to this view, there is a fundamental difference between a razor and scissors in the way the hair is cut. A razor cuts the hair directly, due to the sharpness of the blade. Scissors operate in an entirely different manner, squeezing the hair between two opposing blades. The hair is cut by virtue of the pressure applied to it, and not due to the sharpness of the blade. Consequently, the Poskim who allow the use of shavers maintain that scissors may be used, even if the resulting trim is exactly the same as that of a razor (misparayim k’ein ta’ar). Most (mechanical) shavers consist of a set of tiny opposing blades or surfaces that cut the hair in the manner of scissors. According to this second viewpoint, nearly all shavers are permissible under the rule of misparayim k’ein ta’ar.”
The article concludes by noting that the Shulchan Aruch Yoreh Deah 181:10 rules like the second view (ie that that scissors are allowed) and also cites the view of Rav Moshe Feinstein zt”l, who also differentiated between the cutting action of scissors and that of a razor, thus permitting the use of most electric shavers.