I disagree ! when said "impossible"
Invitation is possible and there more than one option if file is waiting in the Express Entry Pool ! A specific answer cannot be given, just by mentioning English Language Proficiency Level . Invitation with mentioned level is possible.
Province Nomination Program Open category is also one of the option to enter Canada.
To name a few Skilled Immigration Programs
Saskatchewan Immigration Nominee Program
Nova Scotia On Demand
Manitoba Province Program - If you have a friend or relative this is an easy entry in Canada
Recently a new Pilot Program named , Atlantic Immigration Pilot Program is also introduces.
Quebec Skilled Worker Program (Has unique program )
Every Provinces has Nomination Program , few participate in Express Entry.
Consult Visa Companies for better Guidance ... Invitation are flowing in !