Of course the energy requirements are insane and would require some kind of physicists nightmare propulsion system like antimatter rockets. Lose reactor containment and you are instantly converted into plasma and gamma rays. If you hit something the size of a dust particle it will destroy your spacecraft.
A bit hard.
Near light speed is a requirement for intergalactic travel because even solid state machines will not last long enough to make it without time dilation to shorten the trip.
Interstellar travel could theoretically be achieved with 1960s tech. Look up Project Orion. It could even be done with chemical rockets if you could hibernate, greatly extend life span, build a generational ship, or be an AI and just turn yourself off for the trip.