Yes. You receive a dividend payment based on the fraction of the share that you own.
For example, if you own 10.60 shares of Apple, and it pays a $100 USD dividend, your Hatch account will be credited with $1060 USD when that dividend is paid.
The dividends you receive may be rounded. For example, if you own .0001 of a share of stock that pays a one cent dividend per share, you won’t receive a dividend for the fraction of a cent.