Yes, you can use those sentences. ‘Rushed’ indicates haste/urgency; ‘Bolted’ is much the same, but could imply having been startled/scared; and ‘Stormed’ is unlikely (for a cat) indicating anger or aggression.
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Gene93we can say "My brother stormed out of the room", but we can't say "My brother stormed into the room"?I have heard it both ways (into and out of). The reason for the loss of temper can start "in a room" and cause an angry exit; or can start "elsewhere" and cause a room to be stormed into.