Yes and no.
The discrete wavelet transform is often used as synonymous with the discrete nonredundant (critically-sampled) wavelet transform.
Framelets are redundant wavelet transforms. The Wavelet Toolbox currently features the stationary wavelet transform and the nondecimated wavelet transform which are highly-redundant framelet transforms. There are framelet decompositions with less redundancy than those two.
The CWT as implemented in a computer is also a wavelet frame decomposition.
