Absolutely. Normally one can successfully mix and match checks and stripes as long as they are on different scales. In some contemporary fashion circles one sees stripes and/or checks matched even on the same scale. FWIW, I don't care for such pairings.I think a pin-striped suit offers a great opportunity to mix patterns, don't you think so? The stripes on the suit usually aren't really prominent, giving you leeway to also wear a striped shirt or a checked shirt.