Multiple House Sittings?

Can you book more than one house sitting at a time? I have a sit coming up from December 23- January 7 for a cat. I’ve already done a meet and greet and his owners told me they just need someone to stay every other night or so. And that they’re okay with me being gone 2-3 nights as long as I come back during the day to feed and play for a little while and both owners will know, and yes I am confident in myself to handle both. So my question is, if I get another request during these dates (since it is Christmas and New Years) for 2-3 nights, can I book them both as house sitting? It would just be such a hassle and honestly more expensive for my client to have to book my current client for 3 nights then 6 nights, including drop ins in between, so on and so forth. It would just be easier to book both as house sitting. But can I do that? Thanks in advance!