Yes—and the original books are still useful
You do not need to belong to the Church of Jesus Christ of Latter-day Saints to study Deseret. The alphabet is a historical writing system that can now be read by anyone with a character chart, a little patience and access to scanned nineteenth-century publications.
Begin with a sound chart; write the words from your own speech; then use the Deseret First Book as a graded reader. The second reader provides additional practice. The full Deseret Book of Mormon is a more demanding reading project because it uses nineteenth-century vocabulary and historical spelling conventions.
Where to find authentic examples
The University of Illinois Deseret research corpus brings together material from the original print culture, including searchable text. University of Utah exhibits explain the printing experiments and preserve examples. The Deseret Alphabet Portal links to copies of primers and related books.
You can use a modern Unicode font for ordinary computer writing. The shape of a digital letter may differ subtly from the old metal type without changing which character it is.
How to practise without getting discouraged
Write five words you already know today. Tomorrow, write the same five without looking. Then add five more. Reading fluency requires a second habit: spend a few minutes reading texts written by someone else. Your own handwriting becomes familiar quickly, but nineteenth-century print teaches you the variety of real letters and spellings.
How to tell whether a learning resource is authentic
Check whether it distinguishes the 38-character printed alphabet from the extra OY/EW characters. Check whether its sample words fit the pronunciation it claims to teach. And check whether it shows actual nineteenth-century pages rather than only retyped modern examples. A reference that treats all accents as identical is likely to mislead you on vowels.
For free reading practice, a short passage from an original reader is worth more than a very long list of invented words. Copy the passage by hand, then compare the printed shapes character by character. Gradually change from decoding one letter at a time to recognising repeated sequences.