in general yes, and the proof document must be in English or French.
Accepted vaccines include:
Pfizer-BioNTech (Comirnaty, tozinameran, BNT162b2)
Moderna (Spikevax, mRNA-1273)
AstraZeneca (Vaxzevria, COVISHIELD, ChAdOx1-S, AZD1222)
Janssen/Johnson & Johnson (Ad26.COV2.S)
Starting November 30, 2021, at 03:01 a.m. EST, the following COVID-19 vaccines authorized by the World Health Organization (WHO) will be accepted by the Government of Canada for travel:
Bharat Biotech (Covaxin, BBV152 A, B, C) Starting November 30
Sinopharm (Beijing) BBIBP-CorV (Vero Cells) Starting November 30
Sinovac (CoronaVac, PiCoVacc) Starting November 30
To qualify as a fully vaccinated traveller, you must have received at least 2 doses of an accepted vaccine or a mix of 2 accepted vaccines, or at least 1 dose of the Janssen/Johnson & Johnson vaccine, at least 14 full days prior to the day you travel.