Generally not in a civil case.
Your answer is YES, but generally not in a civil case. An alimony order and money judgement in small claims court are both civil cases.
This means that the judge can choose
not to find contempt when someone refuses to pay a $5,000 judgement in small claims court and the judge can choose
to find contempt when someone refuses to pay and is in arrears $5,000 in alimony payments.
Apparently judges consider refusing to pay 5 grand in an alimony judgement (especially to women) more serious than refusing to pay a 5 grand small claims judgement.
I don't see the difference in either. Money owed is money owed.