There were Norwegian settlers in Texas dating to the days of the Republic of Texas. I am, however, unaware of any law requiring laws be translated to Norwegian.

See Arneson, Axel. "Norwegian Settlements in Texas." The Southwestern Historical Quarterly 45, no. 2 (1941): 125-35. http://www.jstor.org/stable/30237365.Copy for more on Norwegian settlements in Texas.

The communities in East Texas discussed in this article include what is now called Four Mile Prairie in Van Zandt and Kaufman counties.

Given there were only 105 Norwegian born people in Texas by 1850, I can’t see why this would have been done. (https://tshaonline.org/handbook/online/articles/ptn01)

I’ve searched the Texas Statutes dating to that time and don’t see anything on this either.

This law review article doesn't directly answer your questions but does have some interesting context for the early Texas history with multilingualism. One interesting point is that the failure of the Mexican government to be sufficiently responsive to Texians concerns with government in an "unknown tongue" was one of the reasons given by the Texians for declaring independence from Mexico. Consequently, the Texas Republic and early State of Texas may have been especially sensitive to making sure that those residents who didn't speak English were able to understand the laws and access government services. The article notes that:

The first legislature of the State of Texas continued the practice established by the Republic of Texas by providing for the trans-lation into Spanish of the "constitution of the State and such general enactments of the Legislature thereof, as in [the Governor's] judgment the public interest may be required."505 In addition, the legislature, recognizing the new presence of large numbers of German immigrants, required these materials to be translated into German as well.5o6 These translations were to be promulgated "in the counties which embrace German emigrants or Spanish citizens, in sufficient quantity for the due administration of the laws of the State." One thousand dollars was appropriated to implement this requirement.

There's just a brief bit regarding the requirement that laws be translated into Norwegian:

In 1858, Norwegian was added to the list of languages in which the laws of Texas were to be provided. Act of Feb. 15, 1858, ch. 145, 1858 Tex. Gen. Laws 219 (appropriating $3,000 for the purpose of providing translations of Texas laws in Norwegian), reprinted in 4 Tex. Gen. Laws 1091 (Gammel 1898). The provision for printing in Norwegian is curious since relatively few Norwegians settled in Texas. Lyder L. Unstad, Norwegian Migration to Texas: A Historic Resume with Four "America Letters," 43 S.W.His-r. Q. 176 (1939) (noting that "not many" Norwegians settled in Texas). The first Norwegian settlement was established at Normandy (now Brownsboro) in Henderson County in 1845. Id. at 177. The largest Norwegian settlement was founded in Bosque County in 1853. Id. at 181.