can you still make a proffit as a land lord if some of your properties are vacant temporally?

Question

but you eventually get people in your rented property

can you still make a proffit under these circumstances

Answer 1

Only if you charge your tenants enough rent to cover the time that it was empty.

Answer 2

as a landlord you are the owner of the property in most cases. Don't know have a Vacancy and losses in your budget. About 3-5% of the PGI is average. You should be able to answer that question before investing in Real Estate. Never assume your properties will all be 100% occupied all the time
If you failed to plan ahead then you will have to try to increase your rent (without losing tenants) and decrease costs. This might help your bottomline but damage your goodwill.