不可以。按大加拿移民海關法，

Everyone from every country arriving in Canada by air, land and sea has to need a passport or equivalent travel document to enter into Canada.而這個equivalent travel document隻包括以下4種證件， 唯獨沒有綠卡：

1. NEXUS Card: A partnership between the Canada and U.S. border services that pre-approves entry for travellers by land, sea or air between Canada and U.S. An added benefit is designated and faster lanes at border crossings and airports. Application process involves interview and fingerprinting. Both U.S. and Canadian citizens apply through U.S. Customs and Border Protection.
2. U.S. Passport Card: This U.S. Department of State-issued ID is valid for entry into Canada by land or sea, though not valid for international air travel.
3. Enhanced Driver's License (EDL): EDLs indicate both citizenship and identity. Valid for entry into Canada by land or sea, though not valid for international air travel. As of January 2009, only available in Washington and New York states, but coming to Vermont. See individual state licensing departments for more info.
4. FAST/Expres card: This U.S. Customs and Border Protection program pre-approves commercial truck drivers for travel between the U.S. and Canada.