Yes, it's fine.

The reflexive pronouns (those ending in -self or -selves) have two main uses: one where they function as complement, and an emphatic use where they function as modifier in clause or noun phrase structure:

Complement Use

"Sue hurt herself".
"Sue was talking to herself".

Emphatic Use

"Sue designed the house herself".
"Sue herself admitted it was a mistake".


Can you work out which category your examples belong in?



PaulM