Yes, since you were a part-year resident and you also had income from Alabama sources while a non-resident during the same tax year.
In your case, if I understand correctly you were a part-year resident but your wife had Alabama income during the period of non-residence (January - March) which requires you to use both forms according to Alabama's instructions.
The instructions are here: Alabama Form 40NR Booklet for reference (this issue is addressed at the top of the middle column on page 5.)
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