I noticed you left out "Blimps" in your list of what works, so I will skip that and move on to what you did mention.
1. "Utilizing border patrol"..... The Biden administration has requested $95 million from Congress to hire 300 additional Border Patrol agents in fiscal year 2023.
The infrastructure Bill which Biden signed gave $430 million to CBP for the construction and modernization of land ports of entry. And $3 billion for critical investments to Border Patrol stations.
2. "Walls"..... I understand Biden is actually completing a few incomplete sections of the wall, despite saying he would not.
3. "Laws"...... Title 42 which began during trump (under the premise of covid) has also remained under Biden (despite him declaring the pandemic over).
4. "Blanket invitation to 'come on down' " not sure what context this is from but I'm open to look into it.
For fiscal year 2022, the Democratic-controlled Congress appropriated $16.5 billion for the Border Patrol, a higher budget than any of the four years under Trump. And yet I would tend to assume the border situation last year in your opinion was the worst it has ever been. Let me know if I'm wrong on that.
Freeing political prisoners imo is kind of a separate issue than the border and we can talk about that if you want but to answer your original question.... No... Trying to impeach Biden over border stuff would be ridiculous. The repubs have the house though so I wouldn't be surprised if they do.