while in settlement program will i be able to lease a car

I don't know whether you'll be able to lease again. But I have to question why in the world you would want to? Leasing is a pricey way to get wheels. You may well be better off to buy used.

Note: This is honest curiosity. It's not intended as a slap.

I think if you stick with the same dealer you would have a good shot at a new lease.

I am with Unclewulf though. A car lease is all sunk cost and you will lose a lot of money. A better alternative is to buy a 2-3 year old car and sell it at 5-6 year old or keep it and run the wheels off it. I followed this but with an older car. My current vehicle is a 1994 Chevy Z28 Camaro. In 2000 I paid 3k for it and it only had 30k miles. It was in superb condition. It now has 130k miles on it and is my main form of transportation. The only downside to my car is the upkeep is a bit higher since it is a sports car. I am probably going to repeat the cycle in the next year or two since my car is pretty old now.