Yes, you should have no issues. I put the SIM from my Pixel 6 into my Pixel 7 and put the SIM from my wife's Pixel 5 into her Pixel 7 Pro. Both new phones are working fine
If you do have any issues SIM cards are free at a Verizon store for Verizon customers.
Hi! Thank you so much for reaching out to us. It will be my pleasure to assist you. In this case is recommended change the device information through your My Verizon account or directly trough this channel.