If the lender's repo man can't find it where you left it, it's time to check with the local police. If it died next to a fireplug or someplace it was creating a traffic hazard, it is probably in their impound lot now. And if it's not there, it's time to file a stolen vehicle report.
Sure it can, if that payment was not enough to fufill your end of the contract. A car wont be repossessed if it is only a month behind. If you are five months behind, and make one payment, you are still behind... even the next day, when you are only four months behind. One payment may not catch you up. When you purchased the car, the deal was, likely, that you get to drive the sellers car, (seller still owns it till the final payment is made), and the seller gets money from you at stated time intervals, likely once per month. If you broke your end of the deal, you no longer have a right to drive the car owned by someone else. Make those payments on time, then you need never worry about the repo man.