Yes, you can be pre-selected (shortlisted) for more than one profile and/or function group.
If pre-selected more than once (by more than one recruiter) for the same profile in the same function group, you will only take the tests once.
If pre-selected for different profiles/function groups, you will be invited to sit the tests for these profiles/function groups in the order in which the requests were sent to EPSO by the recruiting services.
Neither the recruiter nor the candidates or EPSO can influence the order of test requests being processed.
In case you have already passed the reasoning tests, you could be invited to sit competency* tests for different profiles during the same testing period.
*Candidates for linguistic profiles (proofreaders and translators) sit a language comprehension test instead of a competency test.