You can have as many HSAs as you want.
Be careful, though, because there are often times fees associated with having an individual account. First Dollar HSAs are fee-free, though.
If you choose to have multiple HSAs, you still can only contribute a maximum of the annual contribution limits across all of your HSAs. You are also responsible for reporting your combined contributions and deductions to the IRS from all open and active HSA accounts at the end of the year.