Only if they miss some writes, and eventually they will converge. But if you do quorum writes and quorum reads (or local quorum W + local quorum R), this guarantees you'll read from at last one node that received all the writes issued before the read, so you get the converged value immediately, regardless of which node you ask. All nodes will eventually agree on the value, because timestamps are assigned by the coordinator or by the application, not at the replica. A single write will get the same timestamp across all replicas.
Incorrect timestamps can cause a different problem - a write that happened at physical time T2 > T1 might be considered to be older than T1 by the cluster, if it was accepted by the coordinator whose clock was set in the past. Such write might simply not take any effect, as old updates would be considered newer. However, again, the resolution would be consistent on all replicas once they get all updates.