In MLB does the baseman need to touch the base to get the runner out?

If it is a force (i.e. there are people on all the bases behind the runner) play, then yes, the baseman needs to touch the base to get the runner out.

If the runner is not required to move to that base, then the baseman must tag the runner to get him out.

The baseman does not NEED to touch the base to record the out. The defense may tag the runner OR the bag.