If you hold in an ISA then no. If you hold direct, I believe there is some bureaucratic procedure for recovering this from the German government but I suspect that is far too laborious for the amount of money involved in most cases so few if any will bother with it. Even if you did manage to go through with that, you would still be liable for UK tax on the gross as I outline below, so a successful recovery of German tax would only really benefit a non UK taxpayer, and by a very small, probably nugatory, amount a 20% UK taxpayer.
Under UK tax rules foreign dividends are treated differently for UK tax purposes to UK dividends and do not fall within the tax free allowance, currently £5,000 per year. This is outside an ISA.
How it works is that you are taxed upon the gross value of the foreign dividend but are then given credit for foreign tax deducted up to the level of your marginal UK tax rate. So if your marginal UK tax rate is lower than the German tax deducted you lose the excess but would face no further UK liability. If your marginal UK tax rate is higher than the German tax deducted then you are liable for the balance.
Thus for TUI a 20% taxpayer would lose the small additional amount of German tax above that to the gross, a 40% payer would be liable to pay further UK tax above the German deduction up to 40% of the gross.
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