Yes it can and probably will
Unpaid parking tickets are classified the same as unpaid debts, and as such they are reported to the credit bureaus and go on your credit report.
You will probably get sued; they will get a judgment against you. That will have a really bad impact on your credit, plus you will end up paying much more – interest, fines, legal costs etc.
They can even revert to garnishing your bank account, putting a lien on you car and much more.
All of this will make your credit really bad, and will cost you a lot of money.
If I were you I’d pay these tickets.