Some lenders may be able to give you the reasons for the refusal, but this is dependent on the circumstances and the lender. Some common reasons for refusal are a poor credit score, missed payments on other goods, affordability in the eyes of the lender.
If you can wait, it would be better not to apply for finance again straight away as this will put another hard search on your credit file, which can go against you when applying for finance further down the line.