No. According to the rulebook on p. 46: "[Strengthen] and [Bless]: Can be placed on any main ability line that affects allies or yourself. A “Move” ability does not count as affecting yourself. The specified condition is applied to all targets of the ability."
I'm not sure how a move is not affecting my character. (My initial take is the same as yours, but the other three members of my group felt differently, and I'm now not certain.)