Well, my two cents. Since the House only has the authority to bring up articles of impeachment and forward to the Senate for trial, I would say 'no'. Once the Senate makes their determination, it's over. I don't think he can be impeached a second time under the same articles of impeachment by a new House, nor could the previous articles of impeachment be rescinded. Perhaps the new Senate majority could overturn their previous decision?
There are many possibilities and I think this President and our country are in a very vulnerable spot. Considering that there is a possibility with the change in recent demographics and redistricting in several states, the DEMS could actually expand their majority in the House and the GOP loose the Senate. IF that should happen, it is game over anyways and it would only be a short time before the oust Trump.