Hell no. If tackling is taught properly, then it should very rarely result in injuries. I loved tackling, and getting tackled. It was the best part of the game for me. Sure it might not always be pleasant, and you can get injured, but the whole point of rugby is enduring pain and hardship, working as a team to get a result. Yes there is risk, but there is risk in everything in life.
There is a maybe more an argument to make scrums uncontested at under 16, but even then scrums are fine so long as everyone knows how to properly perform one.
By far the most dangerous part of a rugby match, at least in my experience, were mauls.