At this time, I would answer "no" or "with difficulty", but that could change over time as the android NFC API evolves.
There are three modes of NFC interaction:
Reader-Writer: The phone reads tags and writes to them. It's not emulating a card instead an NFC reader/writer device. Hence, you can't emulate a tag in this mode.
Peer-to-peer: the phone can read and pass back ndef messages. If the tag reader supports peer-to-peer mode, then the phone could possibly act as a tag. However, I'm not sure if android uses its own protocol on top of the LLCP protocol (NFC logical link protocol), which would then prevent most readers from treating the phone as an nfc tag.
Card-emulation mode: the phone uses a secure element to emulate a smart card or other contactless device. I am not sure if this is launched yet, but could provide promising. However, using the secure element might require the hardware vendor or some other person to verify your app / give it permissions to access the secure element. It's not as simple as creating a regular NFC android app.
A real question would be: why are you trying to emulate a simple old nfc tag? Is there some application I'm not thinking of? Usually, you'd want to emulate something like a transit card, access key, or credit card which would require a secure element (I think, but not sure).