Would that be possible?

YES.

Maybe start with this: http://forum.mikrotik.com/t/using-routeros-to-vlan-your-network/126489/1

There are multiple solutions with Mikrotik. All VLANs could coexist as separate VLAN on the same bridge.
Using multiple bridges (even one per VLAN) used to be one of the older config methods to connect VLAN with non-VLAN interfaces
In a pure router setup, VLANs could be defined directly on the interfaces, if they are interface specific.
MT ROS is a combination of router and bridge/switch functionality.