Isn't the very definition of gender dysphoria "The condition of feeling one's emotional and psychological identity as male or female to be opposite to one's biological sex"?
I don't get it, how can you transition without feeling that?
If you meant "dysphoria" as being the psychological distress that often accompanies it, then yes, of course you can transition without it. It all depends on how you cope with your gender identity. Most of us have been teased or gender-policed to the point that we do feel distress, and of course many of us have intense feelings of wrongness about our bodies, but hypothetically if someone isn't dysphoric about their body and also doesn't react to social pressure, or doesn't mind, they might not feel it at all.
However, if you don't feel dysphoria about your body at all, it might be a bad idea to change it. Change your social role all you want, that is ALWAYS changeable. But be forewarned that there's a risk of regrets when you start making permanent changes to body parts that you don't have any inherent feeling of "wrongness" with.
