I think yes, you do. Trauma can greatly cloud your judgement and drive you to put yourself in unhappy, even dangerous situations.
However..................
Certain traumas take a long time to be healed, and people with similar traumas process it differently and need diffrent amounts of time to do the work. If you wait too long, you might never be (or feel) ready to experience dating and love. I've seen people say you can learn a lot about yourself whilst in a relationship, and that can be extremely healing. You can also mature a lot by sharing your life with someone.
I know dating and being in a relationship are different things, but the former is necessary for the latter to happen.
So, even though I think healing trauma before dating is important, I also think it's very cruel to completely refrain from dating because bad things happened to you.
What do you think about it? How do you deal with dating versus healing trauma?
You need to heal it enough to be 'in control' of your responses to your triggers, and also to not be vulnerable to manipulation. Which you will be, extremely so, if you are traumatised relationally.
Full healing can take a long time, if reached at all. So no, I don't think you have to be 'fully healed' but you do need to pass a threshold, imo.
A lot of healing happens in (healthy & safe) relationship.
It;s important to be aware enough also so as to not be 'trauma bonding ' with your potential partner, but bonding in a healthy way.