My short answer is No. Ive not heard a tube amp that sounds like an SS amp in particular, nor the other way round. Ive only heard some of each amps attributes correlate to either amp despite their obvious topologies being vastly different..
I see no reason at all to buy a tube amp which sounds like a SS amp. In fact Ive not heard either one duplicate the other. I have heard tube amps which tend to sound more SSy than they do tubey. Ie., CJ and Cary of recent vintages >2005.
The closer one gets to SET topology, the greater the distance between tube and SS amps becomes.
My Ultralinear configured mono blocks can be made to have a good deal of SS attributes . OR they can be made to sound quite tube-ish via rolling tubes, & pcs.
Ive not been able to make the reverse applicable . Altering SS to sound like a Tube amp nor do I care to find out how or even if that is possible.
Each topology serves its own end.
Only when or if I were to incorporate tubes into say a HT arrangement, and to lessen the disparity between those two designs, would I tend to look for more SS like tube amps and even then I might not be so inclined to pursue that theme in those confines.