Yes you can! but like bakwaas_kura said, you have to re register again within 2 months. There are also other options to apply for permanent residency, if you find a sponsor can give you employment. Unlike h1b sponsor, you dont have to be in their payroll, all they have to do is sponsor you and you can start work for them when you get your residency..Wait time is less than a year for tps holders if you get a sponsor because your information is already in DHS data base. I know this because I consulted this for someone with a lawer in California.
Another option is if you have a US born children, you can also apply for hardship children can not adjust in that environment specially we are just recovering from a historical disaster, schooling, language and environmental issue ..Pollution in ktm and surrounding area is 40 times higher than world standard..what I heard last time was its surpassing Delhi and Beijing. So good luck folks..Haresh na khai halnu..You got 14 more months left..A lot can happen by then. Immigration outcomes may change after Nov. Election again !!!!