no, what you need are the right pedals. with the right pedals, just about any shoe works.

shimano pd-mx30 platform pedals are pretty sweet.

specialize lo pro mags are also.

straitline pedals are even better.

wellgo make great entry level flat pedals.

i currently ride the shimanos and i do it in converse chuck taylors. no problems.

if you want super awesome shoes, 5-10s are pretty much it.