Landlords are required to prepare a written agreement for every tenancy. Even if a landlord doesn’t prepare an agreement, the standard terms of a tenancy agreement still apply. Those terms include how the tenancy can be ended.
That said, many types of evictions are not allowed during the pandemic. But if you're sick with COVID-19, your landlord may have cause to evict you on the grounds of your being a health risk. Best to discuss any issues directly with your landlord, making it clear you’ll take all necessary precautions and self-isolation measures.
Evictions do take time. A landlord would have to apply to the Residential Tenancy Branch to get this process started. So you won't be out on the street within days. But to reiterate, the ideal is to resolve this amicably with your landlord. Coming to them with a plan for how you'd mitigate any health risks is a great place to start.