If i had an electromagnetic field roughly 6 feet tall and i "shot" a particle that had the same charge as the field (they want to repel), would the particle go through? Do we have strong enough E.M. fields to stop particles with identical charges to the field from passing through?

The electromagnetic field does not have a charge.

 

What you need to have a look at is the so called Lorentz force.

 

You can trap charged particles using magnetic fields, via the Penning trap.

wait so i couldnt charge that E.M. field?

EM fields are a result of charge, they are not themselves charged.