Even better, although not particularly likely, would be if you could get hired as a Tech first, and then finagle the EMT-B training from your employer.
But as many have said, EMT-B is not necessary for ER Tech-hood. It just helps. A lot. It puts the phlebotomy, the EKG, the assisting with procedures, the triage, etc., into a context which is more medical model (how stuff works, and why) than nursing model (what's the right thing to do, and how)*.
I work in the same job, at the same level, alongside people trained as NA's, MA's, and even a Paramedic or two. I'll try not to be snotty about it, and just say it like this: some of us feel like we have a better grasp of the more...
medical aspects of the care we provide, and some of us are, uh, perfectly good ED Techs. (I should note, it's by no means a 100% correlation between skill or intelligence and level of training. It's more to do with where we plan to be in 5 years.)
There's this one guy, he seems to take pride in his abilities to keep the laundry hampers from overflowing. Truthfully, it's nice to have him around, because I'm as good at the more housekeeping-like aspect of things as the residents.
* total generalization, yes. Please don't flame me.