It is possible to use were to (or more specifically were + full infinitive) in type 2 conditionals.
If + were +infinitive +would +bare infinitive.
If he were to give me my money back, I would come with you.
A type 3 conditional is the more suitable choice for your proposed sentence, however you need to specify exactly when you should have received your money.
If + past perfect + would + have + past participle
If he had paid me on the agreed date, I would have had the money last month.
I am not a teacher.
Student or Learner