No, neither is almost always singular. Put "one" in there and it becomes clear. You would say "neither one was injured" rather than "neither one were injured."
There's a good discussion here. The relevant portion is:
"Is it 'neither is' or 'neither are'?
Neither is usually used with a singular verb, as in "Neither one is here." But sometimes, especially when a prepositional phrase with a plural in it comes between neither and the verb, a plural verb is used, as in "Neither of those are going to work."
“No, neither is almost always singular.”
Thanks for showing the plural use of neither which is exactly the use I posted.