Emphasizing the observations offered by
@canuck78:
A PR-refugee should NOT obtain or renew or use a home country passport. Doing so can be considered to be voluntarily reacquiring home country nationality or deemed to constitute reavailment of home country protection, and particularly so if the PR-refugee actually uses the passport. (See UNHCR guidelines, which Canada follows and applies.) Reacquiring nationality and reavailment of home country protection are grounds for cessation of refugee status. (See Subsection 108(2) with reference to subsections 108(1)(a) and 108(1)(b) IRPA at
http://laws-lois.justice.gc.ca/eng/acts/I-2.5/page-20.html#h-61 ).
Cessation of refugee status on either of these grounds AUTOMATICALLY terminates PR status (see subsection 46(1)(c.1) IRPA at
http://laws-lois.justice.gc.ca/eng/acts/I-2.5/page-10.html#h-28 ), and NO NOTICE of this to the PR is necessary; there is NO separate proceeding; and, IMPORTANTLY, there are no exceptions for H&C reasons.
A PR-refugee should NOT obtain a passport from any other country. Doing so constitutes acquiring a new nationality which can be deemed to constitute obtaining the protection of that country (again, see UNHCR guidelines), which is also a ground for cessation of refugee or protected person status (again, see subsection 108(2) with reference to subsection 108(1)(c) IRPA). Here too, cessation of refugee status on this ground AUTOMATICALLY terminates PR status.
(Also note: travel to the home country creates a PRESUMPTION that the PR-refugee has reavailed himself or herself of home country protection, and the combination of renewing or obtaining a home country passport AND traveling to the home country dramatically increases the risk Canada will actually investigate and potentially initiate cessation proceedings.)
Thus, as others noted, first step is to apply for the Canadian refugee PR Travel Document, and then, as
@canuck78 suggests, apply for a visa to visit the U.S. I do not have a clue whether the U.S. will grant a visa. My strong impression is that it is MORE DIFFICULT to obtain a visa today than it was a couple or more years ago, and especially so for individuals from certain parts of the world. In particular, the Trump Administration has overtly adopted policies and practices inimical to refugees in particular, and some which generally discourage travelers, and again especially so those from certain regions and countries.
THUS: the following should be ignored:
No. No passport unless and until you qualify for and obtain Canadian citizenship, and you apply for and obtain the Canadian passport.
