Nope. Bills die when the Congress ends. If a new House wants to pass the same bill as the prior House they must go through the process again. The process may be very swift if there is a strong desire to have the bill passed. The bill goes to the Senate next. Note that if the bill originates in the Senate the same principles apply. They must re-pass the old bill before sending it to the House. Note that I am assuming that the Congress will obey that old thing called the “Constitution”.
It’s gonna be a very different house :(