Performing Database maintenance [Backup/Restore] to other server

Hi,

I have database maintenance task which include 
1. Database Backup from Server A
2. Database drop on Server B
3. Database restore from Server A backup to Server B

Currently we have separate jobs on Server A [Task 1] and Server B [Task 2 and 3] for these tasks. Is there any way to setup these task on one Server [either A or B].

Thanks in advance.

Shady