Not exactly. Nor would I necessarily agree with an above post that a change of particular ritual Church for a layman is automatically discouraged by Rome.
For any Latin Catholic who desires a change of particular ritual Churches for positive spiritual reasons and assuming there are no impediments (pending holy orders in another Church, etc.) the consent of the Holy See is presumed. That being said, the local bishops involved (the receiving Eastern and the releasing Latin bishop) still have to agree.
A second or third transfer, while not impossible, will be scrutinized much more closely by the bishops and chanceries involved. I’ve only heard of a second and never of a third for a layman, but I suppose there are one or two out there.