Will I qualify for eligible emergency expenses deductions after I closed out a 401K from a former employer when I was injured and lost my current job?

Yes. The IRS defines “emergency personal expense" as an unforeseeable or immediate financial need relating to necessary personal or family emergency expenses. (Section 115 of the Secure 2.0 Act)

An emergency will allow you to make a withdrawal, still subject to tax, but without the 10% early withdrawal penalty. ‌You can take one financial withdrawal emergency per year, not to exceed $1,000.

Even if I'm no longer employer by that company? I left in 2023. I took the entire 401K amount in one final distribution. Thanx in advance for the help...

Yes, for the $1,000 emergency exception, there is no qualification that you must remain employed at the job where you originally contributed to the 401(k).