Question: Can Lysichiton and Lewisia both be found in America?

Context paragraphs:
Lewisia: Lewisia is a plant genus, named for Meriwether Lewis who encountered the species in 1806.  The native habitat of "Lewisia" species is north facing cliffs in the western part of North America.  Local Native Americans ate the roots, which have also been used to treat sore throats.

Lysichiton: Lysichiton is a genus in the family Araceae.  These plants are known commonly as skunk cabbage or less often as swamp lantern.  The spelling Lysichitum is also found.  The genus has two species, one found in north-east Asia (Japan and Russian Far East), the other in north-west America (Aleutians to Santa Cruz County in California).

Lysichiton americanus: Lysichiton americanus, also called western skunk cabbage (USA), yellow skunk cabbage (UK), American skunk-cabbage (Britain and Ireland) or swamp lantern, is a plant found in swamps and wet woods, along streams and in other wet areas of the Pacific Northwest, where it is one of the few native species in the arum family.  The plant is called skunk cabbage because of the distinctive "skunky" odor that it emits when it blooms.  This odor will permeate the area where the plant grows, and can be detected even in old, dried specimens.  The distinctive odor attracts its pollinators, scavenging flies and beetles. Although similarly named and with a similar smell, the plant is easy to distinguish from the eastern skunk cabbage ("Symplocarpus foetidus"), another species in the arum family found in eastern North America.

Supporting paragraphs: Lysichiton Lewisia
Answer: yes