No, this is not allowed. The official rules say:
9.1.1 CONSECUTIVE CONTACTS
A player may not hit the ball two times consecutively (except Rules 9.2.3, 14.2 and 14.4.2).
Let's have a look at these exceptions:
9.2.3 The ball may touch various parts of the body, provided that the contacts take place simultaneously.
This situation is not simultaneous, so this exception doesn't apply.
14.2 BLOCK CONTACT
Consecutive (quick and continuous) contacts with the ball may occur by one or more blockers, provided that the contacts are made during one action.
14.4.2 The first hit after the block may be executed by any player, including the one who has touched the ball during the block
Since this isn't about blocking, these exceptions don't apply either.