Yes, we support and would like to encourage this! Here is an example citation:

The dataset "EMBO Timecourse of IL-4 and IL-7 in PBMC B and T cells" (https://www.cytobank.org/cytobank/experiments/336) was obtained from the public Cytobank repository [1] and is part of a dataset originally collected by J.M. Irish et al. as part of a class on flow cytometry.

The 'originally collected by' would be the experiment's Primary Researcher (or perhaps PI in some cases). If the data were part of a publication, that should be referenced at the end with the 'originally collected by' section.

For experiments personally shared with you (that are not Public), both the Primary Researcher and PI must be involved in the publication or give you permission to publish the data.