Yes you can!!! …But you will need to leave the default materials behind to do it.
The top edge of the sink needs to be designed well to allow for laminate installations. Most sink manufacturers have old designs and are not doing it yet. The steps: First the sink is dropped into the unfinished countertop (not yet laminated). At this point the sink must be completely level with the unfinished countertop, and have a completely flat surface. Next the laminate is applied and the sink disappears. Next the sink and any needed deck mount holes are routed out, and trimmed.
Cons: Your sink options are severely limited. Karran is the best known sink manufacturer currently distributed in the USA that will work. Also, I suspect the bondo/epoxy-like material used to seal the sink to the underside of the laminate is not removable. (Historically undermount sinks are sealed to countertops with silicone, and that can be sliced apart allowing replacement of the sink and countertop independently, which is a fantastic feature that is sad to lose).
In defense of laminate: Some people look down on laminate and it is not justified.
The newest Italian laminates are stunning and sci-fi innovations. The fenix energy beam cross-linked polymer laminates are so durable they may Formica look old-fashioned (and Formica is great). The zero pattern repeat wood grain, marble, stone, and fabric pattern laminates (with embossed texture that MATCHES the pattern) look SO much like the real thing it is very hard to tell them apart. The color-core matching laminates that do not have black seams, and the ultra thin laminates that show almost no core on seams both remove the tell-tale laminate look of the past. Check out the companies Arpa and Abet, and don’t believe the kitchen designers in the big box stores because their education is limited what their store sells.
In the past few years USA laminate companies have been quietly being bought up by overseas laminate companies. Economically that is a travesty, but the improvements we are going to see in laminates as the inventory and innovations shift, particularly with the Italian influence is very exciting for kitchen design and durability. And of course, the absolute best thing laminate has going is it is affordable!