not running officially

[azz]

Can one use
a. He is not rapidly going up the stairs.
instead of
b. He is not going up the stairs rapidly.
?


Can one use
c. DeSantis is not officially running for president yet.
instead of
b. DeSantis is not running officially for president yet.
?

Many thanks

[Alan]

1. Yes, but slightly unnatural.

2. Yes - preferable, even!