There is really no reason to delete the and here in this passage. The two infinitive phrases can be connected with the coordinating conjunction and. There are many such examples elsewhere in the text. For instance, nearby we have the following example:
It could well be that the 1837 edition accidentally dropped the and. This change was not marked by Joseph Smith in the printer’s manuscript.
Summary: Restore the and connecting the two infinitive phrases in 1 Nephi 2:11; the 1837 change may well be a typo.