I usually see 'satisfy the criteria' and 'meet the requirements', but is it acceptable to use 'meet the criteria', or 'satisfy the requirements'?
The Oxford Collocations Dictionary says the following:
VERB+criterion: fit, fulfill, meet, satisfy. The Macmillan Collocations Dictionary gives one more verb, "match".
VERB+requirement: comply with, fit, fulfill, match, meet, satisfy, suit. The Macmillan Collocations Dictionary gives three more verbs, "achieve", "adhere to", "conform to".
I see no problem with using either of the proposed phases. In fact, I think I almost prefer meet the criteria and satisfy the requirements.
Google NGram says that both those phrases are in common use, so I guess the answer is yes.