Usually not.
Leases which began before 1 January 1996 are usually subject to 'privity of contract'. This means that you are liable to the landlord for all future payments under the lease, by any future tenants. This may also apply even if you yourself took on the lease after 1 January 1996.
For leases which began after 1 January 1996, the landlord is usually entitled to require you to guarantee payments by the next tenant (but not by any tenants after that). If you are not prepared to give this guarantee, the landlord may be entitled to withhold consent to the assignment.
